48907461484800 has 1296 divisors, whose sum is σ = 183858168574080. Its totient is φ = 12861469163520.

The previous prime is 48907461484793. The next prime is 48907461484811. The reversal of 48907461484800 is 848416470984.

48907461484800 is a `hidden beast` number, since 4 + 8 + 9 + 0 + 7 + 4 + 6 + 148 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44582917852 + ... + 44582918948.

Almost surely, 2^{48907461484800} is an apocalyptic number.

48907461484800 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 48907461484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929084287040).

48907461484800 is an abundant number, since it is smaller than the sum of its proper divisors (134950707089280).

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

48907461484800 is a wasteful number, since it uses less digits than its factorization.

48907461484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 48907461484800 in words is "forty-eight trillion, nine hundred seven billion, four hundred sixty-one million, four hundred eighty-four thousand, eight hundred".