97331524198272 has 1152 divisors, whose sum is σ = 357151615329600. Its totient is φ = 24896524124160.

The previous prime is 97331524198247. The next prime is 97331524198291. The reversal of 97331524198272 is 27289142513379.

It is a happy number.

97331524198272 is a `hidden beast` number, since 9 + 7 + 3 + 31 + 5 + 241 + 98 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9666448854 + ... + 9666458922.

Almost surely, 2^{97331524198272} 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 97331524198272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178575807664800).

97331524198272 is an abundant number, since it is smaller than the sum of its proper divisors (259820091131328).

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

97331524198272 is a wasteful number, since it uses less digits than its factorization.

97331524198272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10336 (or 10308 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 97331524198272 in words is "ninety-seven trillion, three hundred thirty-one billion, five hundred twenty-four million, one hundred ninety-eight thousand, two hundred seventy-two".