54315413216 has 96 divisors (see below), whose sum is σ = 111690200160. Its totient is φ = 25978060800.

The previous prime is 54315413197. The next prime is 54315413231. The reversal of 54315413216 is 61231451345.

It is a super-2 number, since 2×54315413216² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41877080 + ... + 41878376.

It is an arithmetic number, because the mean of its divisors is an integer number (1163439585).

Almost surely, 2^54315413216 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 54315413216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55845100080).

54315413216 is an abundant number, since it is smaller than the sum of its proper divisors (57374786944).

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

54315413216 is a wasteful number, since it uses less digits than its factorization.

54315413216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1940 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The spelling of 54315413216 in words is "fifty-four billion, three hundred fifteen million, four hundred thirteen thousand, two hundred sixteen".