48839970566464 has 672 divisors, whose sum is σ = 133512085324800. Its totient is φ = 17288399462400.

The previous prime is 48839970566459. The next prime is 48839970566501. The reversal of 48839970566464 is 46466507993884.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2491444087 + ... + 2491463689.

It is an arithmetic number, because the mean of its divisors is an integer number (198678698400).

Almost surely, 2^{48839970566464} is an apocalyptic number.

48839970566464 is a gapful number since it is divisible by the number (44) 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 48839970566464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66756042662400).

48839970566464 is an abundant number, since it is smaller than the sum of its proper divisors (84672114758336).

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

48839970566464 is a wasteful number, since it uses less digits than its factorization.

48839970566464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19763 (or 19742 counting only the distinct ones).

The product of its (nonzero) digits is 7524679680, while the sum is 79.

The spelling of 48839970566464 in words is "forty-eight trillion, eight hundred thirty-nine billion, nine hundred seventy million, five hundred sixty-six thousand, four hundred sixty-four".