901191374721 has 135 divisors (see below), whose sum is σ = 1521770639697. Its totient is φ = 531082545840.

The previous prime is 901191374689. The next prime is 901191374767. The reversal of 901191374721 is 127473191109.

It is a happy number.

The square root of 901191374721 is 949311.

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

901191374721 is a `hidden beast` number, since 90 + 1 + 1 + 91 + 3 + 7 + 472 + 1 = 666.

It is not a de Polignac number, because 901191374721 - 2⁵ = 901191374689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (901191374771) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4041216816 + ... + 4041217038.

Almost surely, 2^901191374721 is an apocalyptic number.

901191374721 is the 949311-st square number.

901191374721 is the 474656-th centered octagonal number.

It is an amenable number.

901191374721 is a deficient number, since it is larger than the sum of its proper divisors (620579264976).

901191374721 is an equidigital number, since it uses as much as digits as its factorization.

901191374721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 901191374721 in words is "nine hundred one billion, one hundred ninety-one million, three hundred seventy-four thousand, seven hundred twenty-one".