49972903344 has 840 divisors, whose sum is σ = 188871973920. Its totient is φ = 12464990208.

The previous prime is 49972903319. The next prime is 49972903369. The reversal of 49972903344 is 44330927994.

It is a happy number.

49972903344 is a `hidden beast` number, since 4 + 9 + 9 + 7 + 290 + 3 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (49972903319) and next prime (49972903369).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 561493252 + ... + 561493340.

It is an arithmetic number, because the mean of its divisors is an integer number (224847588).

Almost surely, 2^49972903344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49972903344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94435986960).

49972903344 is an abundant number, since it is smaller than the sum of its proper divisors (138899070576).

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

49972903344 is a wasteful number, since it uses less digits than its factorization.

49972903344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 49972903344 in words is "forty-nine billion, nine hundred seventy-two million, nine hundred three thousand, three hundred forty-four".