93504045723001 has 27 divisors (see below), whose sum is σ = 95581852343887. Its totient is φ = 91471184060480.

The previous prime is 93504045722939. The next prime is 93504045723059. The reversal of 93504045723001 is 10032754040539.

The square root of 93504045723001 is 9669749.

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., 1647616124025 + 91856429598976 = 1283595^2 + 9584176^2 .

It is not a de Polignac number, because 93504045723001 - 2²⁵ = 93504012168569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93504045723071) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90692575356 + ... + 90692576386.

Almost surely, 2^{93504045723001} is an apocalyptic number.

93504045723001 is the 9669749-th square number.

93504045723001 is the 4834875-th centered octagonal number.

It is an amenable number.

93504045723001 is a deficient number, since it is larger than the sum of its proper divisors (2077806620886).

93504045723001 is an frugal number, since it uses more digits than its factorization.

93504045723001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 93504045723001 in words is "ninety-three trillion, five hundred four billion, forty-five million, seven hundred twenty-three thousand, one".