97746815232 has 576 divisors, whose sum is σ = 329279569920. Its totient is φ = 28333670400.

The previous prime is 97746815209. The next prime is 97746815233. The reversal of 97746815232 is 23251864779.

It is a happy number.

97746815232 is a `hidden beast` number, since 9 + 77 + 46 + 8 + 1 + 523 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (97746815233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266339913 + ... + 266340279.

It is an arithmetic number, because the mean of its divisors is an integer number (571665920).

Almost surely, 2^97746815232 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 97746815232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164639784960).

97746815232 is an abundant number, since it is smaller than the sum of its proper divisors (231532754688).

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

97746815232 is a wasteful number, since it uses less digits than its factorization.

97746815232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 527 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 97746815232 in words is "ninety-seven billion, seven hundred forty-six million, eight hundred fifteen thousand, two hundred thirty-two".