54812114688 has 144 divisors (see below), whose sum is σ = 148710320640. Its totient is φ = 17918681088.

The previous prime is 54812114657. The next prime is 54812114699. The reversal of 54812114688 is 88641121845.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12295756 + ... + 12300212.

It is an arithmetic number, because the mean of its divisors is an integer number (1032710560).

Almost surely, 2^54812114688 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 54812114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74355160320).

54812114688 is an abundant number, since it is smaller than the sum of its proper divisors (93898205952).

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

54812114688 is a wasteful number, since it uses less digits than its factorization.

54812114688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4782 (or 4768 counting only the distinct ones).

The product of its digits is 491520, while the sum is 48.

The spelling of 54812114688 in words is "fifty-four billion, eight hundred twelve million, one hundred fourteen thousand, six hundred eighty-eight".