49575886483968 has 480 divisors, whose sum is σ = 163800163118592. Its totient is φ = 14299545600000.

The previous prime is 49575886483831. The next prime is 49575886483999. The reversal of 49575886483968 is 86938468857594.

49575886483968 is a `hidden beast` number, since 4 + 9 + 57 + 58 + 86 + 48 + 396 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255513393 + ... + 255707343.

Almost surely, 2^{49575886483968} is an apocalyptic number.

49575886483968 is a gapful number since it is divisible by the number (48) 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 49575886483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81900081559296).

49575886483968 is an abundant number, since it is smaller than the sum of its proper divisors (114224276634624).

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

49575886483968 is a wasteful number, since it uses less digits than its factorization.

49575886483968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194256 (or 194237 counting only the distinct ones).

The product of its digits is 100329062400, while the sum is 90.

The spelling of 49575886483968 in words is "forty-nine trillion, five hundred seventy-five billion, eight hundred eighty-six million, four hundred eighty-three thousand, nine hundred sixty-eight".