49777121184 has 288 divisors, whose sum is σ = 162558881856. Its totient is φ = 13250764800.

The previous prime is 49777121183. The next prime is 49777121189. The reversal of 49777121184 is 48112177794.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (49777121183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8073687 + ... + 8079849.

It is an arithmetic number, because the mean of its divisors is an integer number (564440562).

Almost surely, 2^49777121184 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 49777121184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81279440928).

49777121184 is an abundant number, since it is smaller than the sum of its proper divisors (112781760672).

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

49777121184 is a wasteful number, since it uses less digits than its factorization.

49777121184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6308 (or 6293 counting only the distinct ones).

The product of its digits is 790272, while the sum is 51.

The spelling of 49777121184 in words is "forty-nine billion, seven hundred seventy-seven million, one hundred twenty-one thousand, one hundred eighty-four".