49971169702944 has 1920 divisors, whose sum is σ = 182659276800000. Its totient is φ = 13376319989760.

The previous prime is 49971169702889. The next prime is 49971169702999. The reversal of 49971169702944 is 44920796117994.

49971169702944 is a `hidden beast` number, since 49 + 9 + 71 + 169 + 70 + 294 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (49971169702889) and next prime (49971169702999).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 128460590302 + ... + 128460590690.

It is an arithmetic number, because the mean of its divisors is an integer number (95135040000).

Almost surely, 2^{49971169702944} 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 49971169702944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91329638400000).

49971169702944 is an abundant number, since it is smaller than the sum of its proper divisors (132688107097056).

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

49971169702944 is a wasteful number, since it uses less digits than its factorization.

49971169702944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 49971169702944 in words is "forty-nine trillion, nine hundred seventy-one billion, one hundred sixty-nine million, seven hundred two thousand, nine hundred forty-four".