997258856832 has 1536 divisors, whose sum is σ = 3787741440000. Its totient is φ = 257944780800.

The previous prime is 997258856831. The next prime is 997258856857. The reversal of 997258856832 is 238658852799.

997258856832 is a `hidden beast` number, since 9 + 9 + 7 + 2 + 58 + 8 + 568 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997258856831) 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 191 ways as a sum of consecutive naturals, for example, 14045899357 + ... + 14045899427.

It is an arithmetic number, because the mean of its divisors is an integer number (2465977500).

Almost surely, 2^997258856832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997258856832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893870720000).

997258856832 is an abundant number, since it is smaller than the sum of its proper divisors (2790482583168).

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

997258856832 is a wasteful number, since it uses less digits than its factorization.

997258856832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 141 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 72.

The spelling of 997258856832 in words is "nine hundred ninety-seven billion, two hundred fifty-eight million, eight hundred fifty-six thousand, eight hundred thirty-two".