49518710784 has 351 divisors, whose sum is σ = 153476397009. Its totient is φ = 15381135360.

The previous prime is 49518710767. The next prime is 49518710807. The reversal of 49518710784 is 48701781594.

The square root of 49518710784 is 222528.

It is a perfect power (a square), and thus also a powerful number.

49518710784 is a `hidden beast` number, since 49 + 518 + 7 + 1 + 0 + 7 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1610256384 + 47908454400 = 40128^2 + 218880^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 49518710784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 811782114 + ... + 811782174.

Almost surely, 2^49518710784 is an apocalyptic number.

49518710784 is the 222528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49518710784

49518710784 is an abundant number, since it is smaller than the sum of its proper divisors (103957686225).

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

49518710784 is an equidigital number, since it uses as much as digits as its factorization.

49518710784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 49518710784 in words is "forty-nine billion, five hundred eighteen million, seven hundred ten thousand, seven hundred eighty-four".