97381011456 has 104 divisors (see below), whose sum is σ = 288501436160. Its totient is φ = 32460300288.

The previous prime is 97381011401. The next prime is 97381011479. The reversal of 97381011456 is 65411018379.

97381011456 is a `hidden beast` number, since 97 + 3 + 8 + 101 + 1 + 456 = 666.

It is a super-2 number, since 2×97381011456² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329680 + ... + 550863.

Almost surely, 2^97381011456 is an apocalyptic number.

97381011456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

97381011456 is an abundant number, since it is smaller than the sum of its proper divisors (191120424704).

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

97381011456 is an equidigital number, since it uses as much as digits as its factorization.

97381011456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880576 (or 880548 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 97381011456 in words is "ninety-seven billion, three hundred eighty-one million, eleven thousand, four hundred fifty-six".