54404188384 has 384 divisors, whose sum is σ = 147227673600. Its totient is φ = 19183288320.

The previous prime is 54404188357. The next prime is 54404188411. The reversal of 54404188384 is 48388140445.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54404188357) and next prime (54404188411).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65784579 + ... + 65785405.

It is an arithmetic number, because the mean of its divisors is an integer number (383405400).

Almost surely, 2^54404188384 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 54404188384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73613836800).

54404188384 is an abundant number, since it is smaller than the sum of its proper divisors (92823485216).

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

54404188384 is a wasteful number, since it uses less digits than its factorization.

54404188384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 49.

The spelling of 54404188384 in words is "fifty-four billion, four hundred four million, one hundred eighty-eight thousand, three hundred eighty-four".