864226103989248 has 4224 divisors, whose sum is σ = 3638345288417280. Its totient is φ = 198985973760000.

The previous prime is 864226103989231. The next prime is 864226103989277. The reversal of 864226103989248 is 842989301622468.

864226103989248 is a `hidden beast` number, since 8 + 6 + 4 + 226 + 1 + 0 + 398 + 9 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 906847957540 + ... + 906847958492.

Almost surely, 2^{864226103989248} is an apocalyptic number.

864226103989248 is a gapful number since it is divisible by the number (88) 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 864226103989248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819172644208640).

864226103989248 is an abundant number, since it is smaller than the sum of its proper divisors (2774119184428032).

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

864226103989248 is a wasteful number, since it uses less digits than its factorization.

864226103989248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 864226103989248 in words is "eight hundred sixty-four trillion, two hundred twenty-six billion, one hundred three million, nine hundred eighty-nine thousand, two hundred forty-eight".