49791385502352 has 200 divisors, whose sum is σ = 155207597048504. Its totient is φ = 15319296792576.

The previous prime is 49791385502329. The next prime is 49791385502371. The reversal of 49791385502352 is 25320558319794.

49791385502352 is a `hidden beast` number, since 4 + 9 + 7 + 9 + 1 + 3 + 8 + 550 + 23 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 215366533776 + 49576018968576 = 464076^2 + 7041024^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 49791385502352.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244750308 + ... + 244953660.

Almost surely, 2^{49791385502352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49791385502352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77603798524252).

49791385502352 is an abundant number, since it is smaller than the sum of its proper divisors (105416211546152).

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

49791385502352 is a wasteful number, since it uses less digits than its factorization.

49791385502352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217919 (or 217904 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 49791385502352 in words is "forty-nine trillion, seven hundred ninety-one billion, three hundred eighty-five million, five hundred two thousand, three hundred fifty-two".