359478874953 has 144 divisors (see below), whose sum is σ = 618912840000. Its totient is φ = 200205561600.

The previous prime is 359478874939. The next prime is 359478875059.

359478874953 is a `hidden beast` number, since 3 + 59 + 4 + 7 + 8 + 87 + 495 + 3 = 666.

359478874953 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 359478874953 - 2⁵ = 359478874921 is a prime.

It is a super-2 number, since 2×359478874953² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (359478874903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 382017463 + ... + 382018403.

Almost surely, 2^359478874953 is an apocalyptic number.

359478874953 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

359478874953 is a deficient number, since it is larger than the sum of its proper divisors (259433965047).

359478874953 is a wasteful number, since it uses less digits than its factorization.

359478874953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1510 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 359478874953 in words is "three hundred fifty-nine billion, four hundred seventy-eight million, eight hundred seventy-four thousand, nine hundred fifty-three".