49962978576 has 225 divisors, whose sum is σ = 168406580199. Its totient is φ = 14259043008.

The previous prime is 49962978547. The next prime is 49962978581. The reversal of 49962978576 is 67587926994.

The square root of 49962978576 is 223524.

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

49962978576 is a `hidden beast` number, since 49 + 9 + 6 + 2 + 9 + 7 + 8 + 576 = 666.

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

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 44 ways as a sum of consecutive naturals, for example, 56327605 + ... + 56328491.

Almost surely, 2^49962978576 is an apocalyptic number.

49962978576 is the 223524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49962978576

49962978576 is an abundant number, since it is smaller than the sum of its proper divisors (118443601623).

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

49962978576 is an frugal number, since it uses more digits than its factorization.

49962978576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 899 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

The spelling of 49962978576 in words is "forty-nine billion, nine hundred sixty-two million, nine hundred seventy-eight thousand, five hundred seventy-six".