54106474464 has 576 divisors, whose sum is σ = 194192474112. Its totient is φ = 13934592000.

The previous prime is 54106474463. The next prime is 54106474493. The reversal of 54106474464 is 46447460145.

54106474464 is a `hidden beast` number, since 54 + 10 + 64 + 74 + 464 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54106474463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134928664 + ... + 134929064.

It is an arithmetic number, because the mean of its divisors is an integer number (337139712).

Almost surely, 2^54106474464 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 54106474464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97096237056).

54106474464 is an abundant number, since it is smaller than the sum of its proper divisors (140085999648).

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

54106474464 is a wasteful number, since it uses less digits than its factorization.

54106474464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 54106474464 in words is "fifty-four billion, one hundred six million, four hundred seventy-four thousand, four hundred sixty-four".