89462845440 has 832 divisors, whose sum is σ = 348755742720. Its totient is φ = 21658337280.

The previous prime is 89462845421. The next prime is 89462845441. The reversal of 89462845440 is 4454826498.

It is a happy number.

89462845440 is a `hidden beast` number, since 8 + 9 + 4 + 628 + 4 + 5 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89462845441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291409767 + ... + 291410073.

Almost surely, 2^89462845440 is an apocalyptic number.

89462845440 is a gapful number since it is divisible by the number (80) 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 89462845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174377871360).

89462845440 is an abundant number, since it is smaller than the sum of its proper divisors (259292897280).

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

89462845440 is a wasteful number, since it uses less digits than its factorization.

89462845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 89462845440 in words is "eighty-nine billion, four hundred sixty-two million, eight hundred forty-five thousand, four hundred forty".