431406216675 has 252 divisors, whose sum is σ = 973801214896. Its totient is φ = 185597568000.

The previous prime is 431406216653. The next prime is 431406216677. The reversal of 431406216675 is 576612604134.

431406216675 is a `hidden beast` number, since 4 + 3 + 14 + 0 + 621 + 6 + 6 + 7 + 5 = 666.

It is not a de Polignac number, because 431406216675 - 2⁵ = 431406216643 is a prime.

It is a super-2 number, since 2×431406216675² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 431406216675.

It is not an unprimeable number, because it can be changed into a prime (431406216677) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 36863325 + ... + 36875025.

Almost surely, 2^431406216675 is an apocalyptic number.

431406216675 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

431406216675 is an abundant number, since it is smaller than the sum of its proper divisors (542394998221).

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

431406216675 is a wasteful number, since it uses less digits than its factorization.

431406216675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11770 (or 11733 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 431406216675 in words is "four hundred thirty-one billion, four hundred six million, two hundred sixteen thousand, six hundred seventy-five".