97969683456 has 264 divisors, whose sum is σ = 288124322304. Its totient is φ = 32057303040.

The previous prime is 97969683359. The next prime is 97969683457. The reversal of 97969683456 is 65438696979.

97969683456 is a `hidden beast` number, since 9 + 7 + 9 + 6 + 96 + 83 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97969683457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161399505 + ... + 161400111.

Almost surely, 2^97969683456 is an apocalyptic number.

97969683456 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 97969683456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144062161152).

97969683456 is an abundant number, since it is smaller than the sum of its proper divisors (190154638848).

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

97969683456 is a wasteful number, since it uses less digits than its factorization.

97969683456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 906 counting only the distinct ones).

The product of its digits is 529079040, while the sum is 72.

The spelling of 97969683456 in words is "ninety-seven billion, nine hundred sixty-nine million, six hundred eighty-three thousand, four hundred fifty-six".