54378438912 has 432 divisors, whose sum is σ = 187277755392. Its totient is φ = 15415142400.

The previous prime is 54378438901. The next prime is 54378438977. The reversal of 54378438912 is 21983487345.

It is a happy number.

54378438912 is a `hidden beast` number, since 54 + 3 + 78 + 438 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×54378438912² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 65753443 + ... + 65754269.

Almost surely, 2^54378438912 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 54378438912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93638877696).

54378438912 is an abundant number, since it is smaller than the sum of its proper divisors (132899316480).

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

54378438912 is an equidigital number, since it uses as much as digits as its factorization.

54378438912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 990 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 54378438912 in words is "fifty-four billion, three hundred seventy-eight million, four hundred thirty-eight thousand, nine hundred twelve".