49777844688 has 120 divisors (see below), whose sum is σ = 163663587360. Its totient is φ = 13923866880.

The previous prime is 49777844681. The next prime is 49777844719. The reversal of 49777844688 is 88644877794.

49777844688 is a `hidden beast` number, since 4 + 97 + 7 + 78 + 4 + 468 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49777844681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1188078 + ... + 1229261.

It is an arithmetic number, because the mean of its divisors is an integer number (1363863228).

Almost surely, 2^49777844688 is an apocalyptic number.

49777844688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

49777844688 is an abundant number, since it is smaller than the sum of its proper divisors (113885742672).

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

49777844688 is a wasteful number, since it uses less digits than its factorization.

49777844688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417377 (or 2417368 counting only the distinct ones).

The product of its digits is 606928896, while the sum is 72.

The spelling of 49777844688 in words is "forty-nine billion, seven hundred seventy-seven million, eight hundred forty-four thousand, six hundred eighty-eight".