16957149569440 has 24 divisors (see below), whose sum is σ = 40061265858180. Its totient is φ = 6782859827712.

The previous prime is 16957149569419. The next prime is 16957149569443. The reversal of 16957149569440 is 4496594175961.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14883330683664 + 2073818885776 = 3857892^2 + 1440076^2 .

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 16957149569440.

It is not an unprimeable number, because it can be changed into a prime (16957149569443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52991092245 + ... + 52991092564.

Almost surely, 2^{16957149569440} is an apocalyptic number.

16957149569440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16957149569440 is an abundant number, since it is smaller than the sum of its proper divisors (23104116288740).

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

16957149569440 is a wasteful number, since it uses less digits than its factorization.

16957149569440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105982184824 (or 105982184816 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 70.

The spelling of 16957149569440 in words is "sixteen trillion, nine hundred fifty-seven billion, one hundred forty-nine million, five hundred sixty-nine thousand, four hundred forty".