48662318880 has 576 divisors, whose sum is σ = 195981327360. Its totient is φ = 10765467648.

The previous prime is 48662318879. The next prime is 48662318891. The reversal of 48662318880 is 8881326684.

48662318880 is a `hidden beast` number, since 4 + 8 + 6 + 623 + 1 + 8 + 8 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42204384 + ... + 42205536.

It is an arithmetic number, because the mean of its divisors is an integer number (340245360).

Almost surely, 2^48662318880 is an apocalyptic number.

48662318880 is a gapful number since it is divisible by the number (40) 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 48662318880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97990663680).

48662318880 is an abundant number, since it is smaller than the sum of its proper divisors (147319008480).

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

48662318880 is a wasteful number, since it uses less digits than its factorization.

48662318880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 48662318880 in words is "forty-eight billion, six hundred sixty-two million, three hundred eighteen thousand, eight hundred eighty".