48923237568000 has 2560 divisors, whose sum is σ = 186791498150400. Its totient is φ = 11296309248000.

The previous prime is 48923237567959. The next prime is 48923237568011. The reversal of 48923237568000 is 86573232984.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 213638591886 + ... + 213638592114.

It is an arithmetic number, because the mean of its divisors is an integer number (72965428965).

Almost surely, 2^{48923237568000} is an apocalyptic number.

48923237568000 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 48923237568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93395749075200).

48923237568000 is an abundant number, since it is smaller than the sum of its proper divisors (137868260582400).

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

48923237568000 is a wasteful number, since it uses less digits than its factorization.

48923237568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 48923237568000 in words is "forty-eight trillion, nine hundred twenty-three billion, two hundred thirty-seven million, five hundred sixty-eight thousand".