48246496808832 has 2560 divisors, whose sum is σ = 182729530368000. Its totient is φ = 12333344145408.

The previous prime is 48246496808827. The next prime is 48246496808893. The reversal of 48246496808832 is 23880869464284.

48246496808832 is a `hidden beast` number, since 4 + 8 + 2 + 464 + 9 + 6 + 80 + 8 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 288901178413 + ... + 288901178579.

It is an arithmetic number, because the mean of its divisors is an integer number (71378722800).

Almost surely, 2^{48246496808832} is an apocalyptic number.

48246496808832 is a gapful number since it is divisible by the number (42) 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 48246496808832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91364765184000).

48246496808832 is an abundant number, since it is smaller than the sum of its proper divisors (134483033559168).

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

48246496808832 is a wasteful number, since it uses less digits than its factorization.

48246496808832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1019215872, while the sum is 72.

The spelling of 48246496808832 in words is "forty-eight trillion, two hundred forty-six billion, four hundred ninety-six million, eight hundred eight thousand, eight hundred thirty-two".