97138334160 has 320 divisors, whose sum is σ = 382710504960. Its totient is φ = 22184202240.

The previous prime is 97138334123. The next prime is 97138334177. The reversal of 97138334160 is 6143383179.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26019654 + ... + 26023386.

It is an arithmetic number, because the mean of its divisors is an integer number (1195970328).

Almost surely, 2^97138334160 is an apocalyptic number.

97138334160 is a gapful number since it is divisible by the number (90) 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 97138334160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191355252480).

97138334160 is an abundant number, since it is smaller than the sum of its proper divisors (285572170800).

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

97138334160 is a wasteful number, since it uses less digits than its factorization.

97138334160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5483 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 97138334160 in words is "ninety-seven billion, one hundred thirty-eight million, three hundred thirty-four thousand, one hundred sixty".