49921858624 has 63 divisors (see below), whose sum is σ = 108931089351. Its totient is φ = 22682816640.

The previous prime is 49921858607. The next prime is 49921858643. The reversal of 49921858624 is 42685812994.

It is a happy number.

The square root of 49921858624 is 223432.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19660747 + ... + 19663285.

Almost surely, 2^49921858624 is an apocalyptic number.

49921858624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

49921858624 is the 223432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49921858624

49921858624 is an abundant number, since it is smaller than the sum of its proper divisors (59009230727).

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

49921858624 is an frugal number, since it uses more digits than its factorization.

49921858624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112 (or 2552 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 58.

The spelling of 49921858624 in words is "forty-nine billion, nine hundred twenty-one million, eight hundred fifty-eight thousand, six hundred twenty-four".