89326722348864 has 4704 divisors, whose sum is σ = 381123745873920. Its totient is φ = 20175547392000.

The previous prime is 89326722348839. The next prime is 89326722348889. The reversal of 89326722348864 is 46884322762398.

89326722348864 is a `hidden beast` number, since 8 + 9 + 3 + 2 + 67 + 2 + 23 + 488 + 64 = 666.

89326722348864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (89326722348839) and next prime (89326722348889).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 89326722348792 and 89326722348801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1130718004377 + ... + 1130718004455.

It is an arithmetic number, because the mean of its divisors is an integer number (81021204480).

Almost surely, 2^{89326722348864} is an apocalyptic number.

89326722348864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89326722348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190561872936960).

89326722348864 is an abundant number, since it is smaller than the sum of its proper divisors (291797023525056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89326722348864 is a wasteful number, since it uses less digits than its factorization.

89326722348864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 217 counting only the distinct ones).

The product of its digits is 1337720832, while the sum is 72.

The spelling of 89326722348864 in words is "eighty-nine trillion, three hundred twenty-six billion, seven hundred twenty-two million, three hundred forty-eight thousand, eight hundred sixty-four".