54906930885312 has 336 divisors, whose sum is σ = 180856539601920. Its totient is φ = 15751227340800.

The previous prime is 54906930885281. The next prime is 54906930885383. The reversal of 54906930885312 is 21358803960945.

54906930885312 is a `hidden beast` number, since 5 + 4 + 9 + 0 + 6 + 9 + 308 + 8 + 5 + 312 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 54906930885312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165121137 + ... + 165453327.

It is an arithmetic number, because the mean of its divisors is an integer number (538263510720).

Almost surely, 2^{54906930885312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54906930885312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90428269800960).

54906930885312 is an abundant number, since it is smaller than the sum of its proper divisors (125949608716608).

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

54906930885312 is a wasteful number, since it uses less digits than its factorization.

54906930885312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333612 (or 333599 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 54906930885312 in words is "fifty-four trillion, nine hundred six billion, nine hundred thirty million, eight hundred eighty-five thousand, three hundred twelve".