49917762048 has 960 divisors, whose sum is σ = 184639682304. Its totient is φ = 11678515200.

The previous prime is 49917762029. The next prime is 49917762049. The reversal of 49917762048 is 84026771994.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (49917762049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 818323938 + ... + 818323998.

Almost surely, 2^49917762048 is an apocalyptic number.

49917762048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49917762048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92319841152).

49917762048 is an abundant number, since it is smaller than the sum of its proper divisors (134721920256).

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

49917762048 is a wasteful number, since it uses less digits than its factorization.

49917762048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 49917762048 in words is "forty-nine billion, nine hundred seventeen million, seven hundred sixty-two thousand, forty-eight".