329472274923 has 96 divisors (see below), whose sum is σ = 557670489600. Its totient is φ = 191936796480.

The previous prime is 329472274903. The next prime is 329472274949.

It is a happy number.

329472274923 is a `hidden beast` number, since 329 + 4 + 7 + 227 + 4 + 92 + 3 = 666.

329472274923 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 329472274923 - 2⁸ = 329472274667 is a prime.

It is a super-3 number, since 3×329472274923³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 329472274923.

It is not an unprimeable number, because it can be changed into a prime (329472274903) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10016538 + ... + 10049376.

It is an arithmetic number, because the mean of its divisors is an integer number (5809067600).

Almost surely, 2^329472274923 is an apocalyptic number.

329472274923 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

329472274923 is a deficient number, since it is larger than the sum of its proper divisors (228198214677).

329472274923 is a wasteful number, since it uses less digits than its factorization.

329472274923 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32990 (or 32973 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 329472274923 in words is "three hundred twenty-nine billion, four hundred seventy-two million, two hundred seventy-four thousand, nine hundred twenty-three".