93845331264400 has 45 divisors (see below), whose sum is σ = 225463873842291. Its totient is φ = 37538055006720.

The previous prime is 93845331264359. The next prime is 93845331264409. The reversal of 93845331264400 is 446213354839.

The square root of 93845331264400 is 9687380.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10472653877904 + 83372677386496 = 3236148^2 + 9130864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93845331264409) 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, 193505416 + ... + 193989784.

Almost surely, 2^{93845331264400} is an apocalyptic number.

93845331264400 is the 9687380-th square number.

It is an amenable number.

93845331264400 is an abundant number, since it is smaller than the sum of its proper divisors (131618542577891).

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

93845331264400 is an frugal number, since it uses more digits than its factorization.

93845331264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968756 (or 484376 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 52.

The spelling of 93845331264400 in words is "ninety-three trillion, eight hundred forty-five billion, three hundred thirty-one million, two hundred sixty-four thousand, four hundred".