48246055304832 has 2304 divisors, whose sum is σ = 189561776947200. Its totient is φ = 12022940160000.

The previous prime is 48246055304819. The next prime is 48246055304869. The reversal of 48246055304832 is 23840355064284.

48246055304832 is a `hidden beast` number, since 4 + 8 + 2 + 4 + 6 + 0 + 553 + 0 + 4 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 95916610693 + ... + 95916611195.

It is an arithmetic number, because the mean of its divisors is an integer number (82275076800).

Almost surely, 2^{48246055304832} is an apocalyptic number.

48246055304832 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 48246055304832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94780888473600).

48246055304832 is an abundant number, since it is smaller than the sum of its proper divisors (141315721642368).

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

48246055304832 is a wasteful number, since it uses less digits than its factorization.

48246055304832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 48246055304832 in words is "forty-eight trillion, two hundred forty-six billion, fifty-five million, three hundred four thousand, eight hundred thirty-two".