54931866813945 has 48 divisors (see below), whose sum is σ = 104899593824064. Its totient is φ = 26369933040000.

The previous prime is 54931866813899. The next prime is 54931866813961.

It is a happy number.

54931866813945 is a `hidden beast` number, since 5 + 4 + 93 + 18 + 66 + 81 + 394 + 5 = 666.

54931866813945 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54931866813945 - 2¹² = 54931866809849 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 549323611 + ... + 549423600.

It is an arithmetic number, because the mean of its divisors is an integer number (2185408204668).

Almost surely, 2^{54931866813945} is an apocalyptic number.

54931866813945 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54931866813945 is a deficient number, since it is larger than the sum of its proper divisors (49967727010119).

54931866813945 is a wasteful number, since it uses less digits than its factorization.

54931866813945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098747334 (or 1098747331 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 72.

The spelling of 54931866813945 in words is "fifty-four trillion, nine hundred thirty-one billion, eight hundred sixty-six million, eight hundred thirteen thousand, nine hundred forty-five".