49964314279936 has 405 divisors, whose sum is σ = 121868905685751. Its totient is φ = 20482265481216.

The previous prime is 49964314279903. The next prime is 49964314279951. The reversal of 49964314279936 is 63997241346994.

The square root of 49964314279936 is 7068544.

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

Its product of digits (1904684544) is a multiple of the sum of its prime divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2172361490421 + ... + 2172361490443.

Almost surely, 2^{49964314279936} is an apocalyptic number.

49964314279936 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

49964314279936 is the 7068544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49964314279936

49964314279936 is an abundant number, since it is smaller than the sum of its proper divisors (71904591405815).

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

49964314279936 is an frugal number, since it uses more digits than its factorization.

49964314279936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 32 counting only the distinct ones).

The product of its digits is 1904684544, while the sum is 76.

The spelling of 49964314279936 in words is "forty-nine trillion, nine hundred sixty-four billion, three hundred fourteen million, two hundred seventy-nine thousand, nine hundred thirty-six".