54153992448 has 504 divisors, whose sum is σ = 169540773696. Its totient is φ = 17244057600.

The previous prime is 54153992447. The next prime is 54153992533. The reversal of 54153992448 is 84429935145.

It is a happy number.

54153992448 is a `hidden beast` number, since 5 + 4 + 1 + 5 + 399 + 244 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 54153992394 and 54153992403.

It is not an unprimeable number, because it can be changed into a prime (54153992441) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 762732253 + ... + 762732323.

It is an arithmetic number, because the mean of its divisors is an integer number (336390424).

Almost surely, 2^54153992448 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 54153992448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84770386848).

54153992448 is an abundant number, since it is smaller than the sum of its proper divisors (115386781248).

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

54153992448 is an frugal number, since it uses more digits than its factorization.

54153992448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 204 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 54153992448 in words is "fifty-four billion, one hundred fifty-three million, nine hundred ninety-two thousand, four hundred forty-eight".