49993382464 has 63 divisors (see below), whose sum is σ = 104773000131. Its totient is φ = 23664977280.

The previous prime is 49993382459. The next prime is 49993382471. The reversal of 49993382464 is 46428339994.

The square root of 49993382464 is 223592.

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

49993382464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×49993382464² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33985249 + ... + 33986719.

Almost surely, 2^49993382464 is an apocalyptic number.

49993382464 is the 223592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49993382464

49993382464 is an abundant number, since it is smaller than the sum of its proper divisors (54779617667).

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

49993382464 is an frugal number, since it uses more digits than its factorization.

49993382464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 1492 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 61.

The spelling of 49993382464 in words is "forty-nine billion, nine hundred ninety-three million, three hundred eighty-two thousand, four hundred sixty-four".