49974857017344 has 1344 divisors, whose sum is σ = 175274557960320. Its totient is φ = 13944306401280.

The previous prime is 49974857017259. The next prime is 49974857017417. The reversal of 49974857017344 is 44371075847994.

49974857017344 is a `hidden beast` number, since 4 + 9 + 9 + 7 + 4 + 8 + 570 + 1 + 7 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 176589600627 + ... + 176589600909.

It is an arithmetic number, because the mean of its divisors is an integer number (130412617530).

Almost surely, 2^{49974857017344} 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 49974857017344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87637278980160).

49974857017344 is an abundant number, since it is smaller than the sum of its proper divisors (125299700942976).

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

49974857017344 is an equidigital number, since it uses as much as digits as its factorization.

49974857017344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 49974857017344 in words is "forty-nine trillion, nine hundred seventy-four billion, eight hundred fifty-seven million, seventeen thousand, three hundred forty-four".