93974993164900 has 27 divisors (see below), whose sum is σ = 203925945529369. Its totient is φ = 37589958489680.

The previous prime is 93974993164883. The next prime is 93974993164907. The reversal of 93974993164900 is 946139947939.

The square root of 93974993164900 is 9694070.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 33830997539364 + 60143995625536 = 5816442^2 + 7755256^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93974993164907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96455997 + ... + 97425403.

Almost surely, 2^{93974993164900} is an apocalyptic number.

93974993164900 is the 9694070-th square number.

It is an amenable number.

93974993164900 is an abundant number, since it is smaller than the sum of its proper divisors (109950952364469).

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

93974993164900 is an frugal number, since it uses more digits than its factorization.

93974993164900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938828 (or 969414 counting only the distinct ones).

The product of its (nonzero) digits is 357128352, while the sum is 73.

The spelling of 93974993164900 in words is "ninety-three trillion, nine hundred seventy-four billion, nine hundred ninety-three million, one hundred sixty-four thousand, nine hundred".