16825162745664 has 672 divisors, whose sum is σ = 62046171299840. Its totient is φ = 4239873331200.

The previous prime is 16825162745663. The next prime is 16825162745723. The reversal of 16825162745664 is 46654726152861.

16825162745664 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 5 + 1 + 62 + 7 + 4 + 566 + 4 = 666.

16825162745664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×16825162745664² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16825162745663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128301249 + ... + 128432319.

Almost surely, 2^{16825162745664} is an apocalyptic number.

16825162745664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16825162745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31023085649920).

16825162745664 is an abundant number, since it is smaller than the sum of its proper divisors (45221008554176).

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

16825162745664 is a wasteful number, since it uses less digits than its factorization.

16825162745664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131219 (or 131206 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 16825162745664 in words is "sixteen trillion, eight hundred twenty-five billion, one hundred sixty-two million, seven hundred forty-five thousand, six hundred sixty-four".