48362497848000 has 1120 divisors, whose sum is σ = 206999305705920. Its totient is φ = 11054166681600.

The previous prime is 48362497847941. The next prime is 48362497848037. The reversal of 48362497848000 is 84879426384.

48362497848000 is a `hidden beast` number, since 4 + 8 + 3 + 62 + 4 + 97 + 8 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×48362497848000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 518569374 + ... + 518662626.

It is an arithmetic number, because the mean of its divisors is an integer number (184820808666).

Almost surely, 2^{48362497848000} is an apocalyptic number.

48362497848000 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 48362497848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103499652852960).

48362497848000 is an abundant number, since it is smaller than the sum of its proper divisors (158636807857920).

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

48362497848000 is an frugal number, since it uses more digits than its factorization.

48362497848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93317 (or 93270 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 48362497848000 in words is "forty-eight trillion, three hundred sixty-two billion, four hundred ninety-seven million, eight hundred forty-eight thousand".