48013592224 has 288 divisors, whose sum is σ = 112201334784. Its totient is φ = 20157096960.

The previous prime is 48013592191. The next prime is 48013592233. The reversal of 48013592224 is 42229531084.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251379969 + ... + 251380159.

It is an arithmetic number, because the mean of its divisors is an integer number (389587968).

Almost surely, 2^48013592224 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 48013592224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56100667392).

48013592224 is an abundant number, since it is smaller than the sum of its proper divisors (64187742560).

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

48013592224 is a wasteful number, since it uses less digits than its factorization.

48013592224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 48013592224 in words is "forty-eight billion, thirteen million, five hundred ninety-two thousand, two hundred twenty-four".