49718296576 has 153 divisors (see below), whose sum is σ = 109304170101. Its totient is φ = 22604414976.

The previous prime is 49718296499. The next prime is 49718296583. The reversal of 49718296576 is 67569281794.

The square root of 49718296576 is 222976.

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

It can be written as a sum of positive squares in only one way, i.e., 7354777600 + 42363518976 = 85760^2 + 205824^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

Its product of digits (45722880) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 742064095 + ... + 742064161.

Almost surely, 2^49718296576 is an apocalyptic number.

49718296576 is the 222976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49718296576

49718296576 is an abundant number, since it is smaller than the sum of its proper divisors (59585873525).

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

49718296576 is an frugal number, since it uses more digits than its factorization.

49718296576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 82 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 64.

Multiplying 49718296576 by its sum of digits (64), we get a square (3181970980864 = 1783808²).

49718296576 divided by its sum of digits (64) gives a square (776848384 = 27872²).

The spelling of 49718296576 in words is "forty-nine billion, seven hundred eighteen million, two hundred ninety-six thousand, five hundred seventy-six".