901431666675 has 144 divisors (see below), whose sum is σ = 1742724396000. Its totient is φ = 456283457280.

The previous prime is 901431666649. The next prime is 901431666679. The reversal of 901431666675 is 576666134109.

It is a happy number.

It is not a de Polignac number, because 901431666675 - 2⁵ = 901431666643 is a prime.

It is a super-4 number, since 4×901431666675⁴ (a number of 49 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (901431666679) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68133961 + ... + 68147189.

It is an arithmetic number, because the mean of its divisors is an integer number (12102252750).

Almost surely, 2^901431666675 is an apocalyptic number.

901431666675 is a deficient number, since it is larger than the sum of its proper divisors (841292729325).

901431666675 is a wasteful number, since it uses less digits than its factorization.

901431666675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13395 (or 13325 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 901431666675 in words is "nine hundred one billion, four hundred thirty-one million, six hundred sixty-six thousand, six hundred seventy-five".