49191691264 has 99 divisors (see below), whose sum is σ = 102271049257. Its totient is φ = 23648350208.

The previous prime is 49191691259. The next prime is 49191691273. The reversal of 49191691264 is 46219619194.

The square root of 49191691264 is 221792.

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., 25794929664 + 23396761600 = 160608^2 + 152960^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 205822857 + ... + 205823095.

Almost surely, 2^49191691264 is an apocalyptic number.

49191691264 is the 221792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49191691264

49191691264 is an abundant number, since it is smaller than the sum of its proper divisors (53079357993).

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

49191691264 is an frugal number, since it uses more digits than its factorization.

49191691264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 270 counting only the distinct ones).

The product of its digits is 839808, while the sum is 52.

The spelling of 49191691264 in words is "forty-nine billion, one hundred ninety-one million, six hundred ninety-one thousand, two hundred sixty-four".