54388156032 has 864 divisors, whose sum is σ = 204744835620. Its totient is φ = 13767376896.

The previous prime is 54388156021. The next prime is 54388156037. The reversal of 54388156032 is 23065188345.

54388156032 is a `hidden beast` number, since 5 + 4 + 3 + 8 + 81 + 560 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54296456256 + 91699776 = 233016^2 + 9576^2 .

It is a super-2 number, since 2×54388156032² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54388156037) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 346421298 + ... + 346421454.

Almost surely, 2^54388156032 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 54388156032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102372417810).

54388156032 is an abundant number, since it is smaller than the sum of its proper divisors (150356679588).

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

54388156032 is a wasteful number, since it uses less digits than its factorization.

54388156032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 54388156032 in words is "fifty-four billion, three hundred eighty-eight million, one hundred fifty-six thousand, thirty-two".