48021630418944 has 2448 divisors, whose sum is σ = 189503500368000. Its totient is φ = 11611416821760.

The previous prime is 48021630418943. The next prime is 48021630418991. The reversal of 48021630418944 is 44981403612084.

48021630418944 is a `hidden beast` number, since 4 + 8 + 0 + 216 + 3 + 0 + 418 + 9 + 4 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (48021630418943) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1549084852209 + ... + 1549084852239.

Almost surely, 2^{48021630418944} 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 48021630418944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94751750184000).

48021630418944 is an abundant number, since it is smaller than the sum of its proper divisors (141481869949056).

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

48021630418944 is an equidigital number, since it uses as much as digits as its factorization.

48021630418944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 48021630418944 in words is "forty-eight trillion, twenty-one billion, six hundred thirty million, four hundred eighteen thousand, nine hundred forty-four".