359118811953 has 32 divisors (see below), whose sum is σ = 585818334720. Its totient is φ = 215613654480.

The previous prime is 359118811939. The next prime is 359118811963.

It is a happy number.

359118811953 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 359118811953 - 2¹² = 359118807857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 359118811953.

It is not an unprimeable number, because it can be changed into a prime (359118811963) 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 31 ways as a sum of consecutive naturals, for example, 5618475 + ... + 5682032.

It is an arithmetic number, because the mean of its divisors is an integer number (18306822960).

Almost surely, 2^359118811953 is an apocalyptic number.

359118811953 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

359118811953 is a deficient number, since it is larger than the sum of its proper divisors (226699522767).

359118811953 is a wasteful number, since it uses less digits than its factorization.

359118811953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11300634 (or 11300628 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 54.

The spelling of 359118811953 in words is "three hundred fifty-nine billion, one hundred eighteen million, eight hundred eleven thousand, nine hundred fifty-three".