49144914058968 has 128 divisors (see below), whose sum is σ = 168016800268800. Its totient is φ = 12961296010368.

The previous prime is 49144914058939. The next prime is 49144914058991. The reversal of 49144914058968 is 86985041944194.

49144914058968 is a `hidden beast` number, since 4 + 9 + 1 + 4 + 491 + 40 + 5 + 8 + 96 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 49144914058896 and 49144914058905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1250105346 + ... + 1250144657.

It is an arithmetic number, because the mean of its divisors is an integer number (1312631252100).

Almost surely, 2^{49144914058968} is an apocalyptic number.

It is an amenable number.

49144914058968 is an abundant number, since it is smaller than the sum of its proper divisors (118871886209832).

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

49144914058968 is a wasteful number, since it uses less digits than its factorization.

49144914058968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500250038 (or 2500250028 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 49144914058968 in words is "forty-nine trillion, one hundred forty-four billion, nine hundred fourteen million, fifty-eight thousand, nine hundred sixty-eight".