49993434624 has 480 divisors, whose sum is σ = 168221170656. Its totient is φ = 13101957120.

The previous prime is 49993434613. The next prime is 49993434637. The reversal of 49993434624 is 42643439994.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52458532 + ... + 52459484.

Almost surely, 2^49993434624 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 49993434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84110585328).

49993434624 is an abundant number, since it is smaller than the sum of its proper divisors (118227736032).

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

49993434624 is a wasteful number, since it uses less digits than its factorization.

49993434624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1023 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 57.

The spelling of 49993434624 in words is "forty-nine billion, nine hundred ninety-three million, four hundred thirty-four thousand, six hundred twenty-four".