49718790144 has 480 divisors, whose sum is σ = 157829031360. Its totient is φ = 15561621504.

The previous prime is 49718790127. The next prime is 49718790217. The reversal of 49718790144 is 44109781794.

49718790144 is a `hidden beast` number, since 497 + 1 + 8 + 7 + 9 + 0 + 144 = 666.

It is a super-2 number, since 2×49718790144² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 316680114 + ... + 316680270.

It is an arithmetic number, because the mean of its divisors is an integer number (328810482).

Almost surely, 2^49718790144 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 49718790144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78914515680).

49718790144 is an abundant number, since it is smaller than the sum of its proper divisors (108110241216).

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

49718790144 is a wasteful number, since it uses less digits than its factorization.

49718790144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 49718790144 in words is "forty-nine billion, seven hundred eighteen million, seven hundred ninety thousand, one hundred forty-four".