16390045791756 has 576 divisors, whose sum is σ = 55834974720000. Its totient is φ = 4116305475072.

The previous prime is 16390045791697. The next prime is 16390045791773. The reversal of 16390045791756 is 65719754009361.

It is a happy number.

16390045791756 is a `hidden beast` number, since 1 + 6 + 3 + 9 + 0 + 0 + 4 + 579 + 1 + 7 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 16390045791693 and 16390045791702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119567745 + ... + 119704743.

It is an arithmetic number, because the mean of its divisors is an integer number (96935720000).

Almost surely, 2^{16390045791756} 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 16390045791756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27917487360000).

16390045791756 is an abundant number, since it is smaller than the sum of its proper divisors (39444928928244).

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

16390045791756 is a wasteful number, since it uses less digits than its factorization.

16390045791756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137123 (or 137108 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 16390045791756 in words is "sixteen trillion, three hundred ninety billion, forty-five million, seven hundred ninety-one thousand, seven hundred fifty-six".