54164533248 has 832 divisors, whose sum is σ = 197611479040. Its totient is φ = 14332723200.

The previous prime is 54164533231. The next prime is 54164533253. The reversal of 54164533248 is 84233546145.

54164533248 is a `hidden beast` number, since 54 + 1 + 64 + 533 + 2 + 4 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 887943138 + ... + 887943198.

Almost surely, 2^54164533248 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 54164533248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98805739520).

54164533248 is an abundant number, since it is smaller than the sum of its proper divisors (143446945792).

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

54164533248 is a wasteful number, since it uses less digits than its factorization.

54164533248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 141 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 54164533248 in words is "fifty-four billion, one hundred sixty-four million, five hundred thirty-three thousand, two hundred forty-eight".