54008964336 has 80 divisors (see below), whose sum is σ = 144108459008. Its totient is φ = 17412019200.

The previous prime is 54008964301. The next prime is 54008964337. The reversal of 54008964336 is 63346980045.

54008964336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54008964337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2768376 + ... + 2787816.

Almost surely, 2^54008964336 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 54008964336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72054229504).

54008964336 is an abundant number, since it is smaller than the sum of its proper divisors (90099494672).

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

54008964336 is a wasteful number, since it uses less digits than its factorization.

54008964336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21350 (or 21344 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 54008964336 in words is "fifty-four billion, eight million, nine hundred sixty-four thousand, three hundred thirty-six".