54906386292468 has 96 divisors (see below), whose sum is σ = 146624992926720. Its totient is φ = 17758110232800.

The previous prime is 54906386292437. The next prime is 54906386292479. The reversal of 54906386292468 is 86429268360945.

54906386292468 is a `hidden beast` number, since 5 + 4 + 9 + 0 + 63 + 86 + 29 + 2 + 468 = 666.

It is a super-2 number, since 2×54906386292468² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54906386292396 and 54906386292405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38448030 + ... + 39850517.

It is an arithmetic number, because the mean of its divisors is an integer number (1527343676320).

Almost surely, 2^{54906386292468} is an apocalyptic number.

It is an amenable number.

54906386292468 is an abundant number, since it is smaller than the sum of its proper divisors (91718606634252).

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

54906386292468 is a wasteful number, since it uses less digits than its factorization.

54906386292468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78298754 (or 78298746 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 54906386292468 in words is "fifty-four trillion, nine hundred six billion, three hundred eighty-six million, two hundred ninety-two thousand, four hundred sixty-eight".