49579256896 has 63 divisors (see below), whose sum is σ = 106583760543. Its totient is φ = 22872046080.

The previous prime is 49579256891. The next prime is 49579256911. The reversal of 49579256896 is 69865297594.

The square root of 49579256896 is 222664.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1558670400 + 48020586496 = 39480^2 + 219136^2 .

Its product of digits (293932800) is a multiple of the sum of its prime factors (4320).

It is not an unprimeable number, because it can be changed into a prime (49579256891) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23155986 + ... + 23158126.

Almost surely, 2^49579256896 is an apocalyptic number.

49579256896 is the 222664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49579256896

49579256896 is an abundant number, since it is smaller than the sum of its proper divisors (57004503647).

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

49579256896 is an frugal number, since it uses more digits than its factorization.

49579256896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 2156 counting only the distinct ones).

The product of its digits is 293932800, while the sum is 70.

The spelling of 49579256896 in words is "forty-nine billion, five hundred seventy-nine million, two hundred fifty-six thousand, eight hundred ninety-six".