97218981648000 has 256 divisors, whose sum is σ = 358089917328000. Its totient is φ = 25925061657600.

The previous prime is 97218981647941. The next prime is 97218981648023. The reversal of 97218981648000 is 84618981279.

97218981648000 is a `hidden beast` number, since 9 + 72 + 1 + 8 + 9 + 81 + 6 + 480 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112089970 + ... + 112953969.

Almost surely, 2^{97218981648000} is an apocalyptic number.

97218981648000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97218981648000 is an abundant number, since it is smaller than the sum of its proper divisors (260870935680000).

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

97218981648000 is a wasteful number, since it uses less digits than its factorization.

97218981648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225043977 (or 225043949 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 97218981648000 in words is "ninety-seven trillion, two hundred eighteen billion, nine hundred eighty-one million, six hundred forty-eight thousand".