54034366464 has 544 divisors, whose sum is σ = 180563409600. Its totient is φ = 16052649984.

The previous prime is 54034366447. The next prime is 54034366481. The reversal of 54034366464 is 46466343045.

54034366464 is a `hidden beast` number, since 540 + 3 + 4 + 3 + 66 + 46 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (54034366447) and next prime (54034366481).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1863254002 + ... + 1863254030.

Almost surely, 2^54034366464 is an apocalyptic number.

54034366464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54034366464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90281704800).

54034366464 is an abundant number, since it is smaller than the sum of its proper divisors (126529043136).

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

54034366464 is an frugal number, since it uses more digits than its factorization.

54034366464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 54034366464 in words is "fifty-four billion, thirty-four million, three hundred sixty-six thousand, four hundred sixty-four".