49976642581056 has 189 divisors, whose sum is σ = 152179889656249. Its totient is φ = 15678041806848.

The previous prime is 49976642581027. The next prime is 49976642581069. The reversal of 49976642581056 is 65018524667994.

The square root of 49976642581056 is 7069416.

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

49976642581056 is a `hidden beast` number, since 4 + 9 + 9 + 76 + 6 + 425 + 81 + 0 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38909150798400 + 11067491782656 = 6237720^2 + 3326784^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2884313065 + ... + 2884330391.

Almost surely, 2^{49976642581056} is an apocalyptic number.

49976642581056 is the 7069416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49976642581056

49976642581056 is an abundant number, since it is smaller than the sum of its proper divisors (102203247075193).

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

49976642581056 is an frugal number, since it uses more digits than its factorization.

49976642581056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34706 (or 17349 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 49976642581056 in words is "forty-nine trillion, nine hundred seventy-six billion, six hundred forty-two million, five hundred eighty-one thousand, fifty-six".