97954284096 has 336 divisors, whose sum is σ = 302747111040. Its totient is φ = 31048012800.

The previous prime is 97954284073. The next prime is 97954284107. The reversal of 97954284096 is 69048245979.

97954284096 is a `hidden beast` number, since 9 + 7 + 9 + 542 + 84 + 0 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101296605 + ... + 101297571.

Almost surely, 2^97954284096 is an apocalyptic number.

97954284096 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 97954284096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151373555520).

97954284096 is an abundant number, since it is smaller than the sum of its proper divisors (204792826944).

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

97954284096 is a wasteful number, since it uses less digits than its factorization.

97954284096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 97954284096 in words is "ninety-seven billion, nine hundred fifty-four million, two hundred eighty-four thousand, ninety-six".