97514936064 has 972 divisors, whose sum is σ = 374182918200. Its totient is φ = 24274059264.

The previous prime is 97514936063. The next prime is 97514936143. The reversal of 97514936064 is 46063941579.

97514936064 is a `hidden beast` number, since 9 + 7 + 514 + 9 + 3 + 60 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 97514936064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97514936063) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 362508922 + ... + 362509190.

It is an arithmetic number, because the mean of its divisors is an integer number (384961850).

Almost surely, 2^97514936064 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 97514936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187091459100).

97514936064 is an abundant number, since it is smaller than the sum of its proper divisors (276667982136).

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

97514936064 is a wasteful number, since it uses less digits than its factorization.

97514936064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 97514936064 in words is "ninety-seven billion, five hundred fourteen million, nine hundred thirty-six thousand, sixty-four".