97946342150400 has 324 divisors, whose sum is σ = 358721270200020. Its totient is φ = 25481974579200.

The previous prime is 97946342150399. The next prime is 97946342150467. The reversal of 97946342150400 is 405124364979.

97946342150400 is a `hidden beast` number, since 9 + 7 + 9 + 46 + 3 + 42 + 150 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4688229613824 + 93258112536576 = 2165232^2 + 9657024^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18375685 + ... + 23098884.

Almost surely, 2^{97946342150400} is an apocalyptic number.

97946342150400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97946342150400 is an abundant number, since it is smaller than the sum of its proper divisors (260774928049620).

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

97946342150400 is a wasteful number, since it uses less digits than its factorization.

97946342150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41474642 (or 41474620 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 97946342150400 in words is "ninety-seven trillion, nine hundred forty-six billion, three hundred forty-two million, one hundred fifty thousand, four hundred".