49113739584 has 840 divisors, whose sum is σ = 185414533920. Its totient is φ = 12739700736.

The previous prime is 49113739541. The next prime is 49113739627. The reversal of 49113739584 is 48593731194.

49113739584 is a `hidden beast` number, since 49 + 1 + 13 + 7 + 3 + 9 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (49113739541) and next prime (49113739627).

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

It is a self number, because there is not a number n which added to its sum of digits gives 49113739584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 353336187 + ... + 353336325.

It is an arithmetic number, because the mean of its divisors is an integer number (220731588).

Almost surely, 2^49113739584 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 49113739584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92707266960).

49113739584 is an abundant number, since it is smaller than the sum of its proper divisors (136300794336).

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

49113739584 is a wasteful number, since it uses less digits than its factorization.

49113739584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 271 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 49113739584 in words is "forty-nine billion, one hundred thirteen million, seven hundred thirty-nine thousand, five hundred eighty-four".