97413179136 has 972 divisors, whose sum is σ = 353458941192. Its totient is φ = 23723900928.

The previous prime is 97413179069. The next prime is 97413179141. The reversal of 97413179136 is 63197131479.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1837984486 + ... + 1837984538.

It is an arithmetic number, because the mean of its divisors is an integer number (363640886).

Almost surely, 2^97413179136 is an apocalyptic number.

97413179136 is a gapful number since it is divisible by the number (96) 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 97413179136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176729470596).

97413179136 is an abundant number, since it is smaller than the sum of its proper divisors (256045762056).

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

97413179136 is a wasteful number, since it uses less digits than its factorization.

97413179136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 95 counting only the distinct ones).

The product of its digits is 857304, while the sum is 51.

The spelling of 97413179136 in words is "ninety-seven billion, four hundred thirteen million, one hundred seventy-nine thousand, one hundred thirty-six".