1656369000000 has 2205 divisors, whose sum is σ = 7304934093303. Its totient is φ = 370656000000.

The previous prime is 1656368999963. The next prime is 1656369000001. The reversal of 1656369000000 is 9636561.

The square root of 1656369000000 is 1287000.

It is a perfect power (a square), and thus also a powerful number.

1656369000000 is a `hidden beast` number, since 1 + 6 + 563 + 6 + 90 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 777035198016 + 879333801984 = 881496^2 + 937728^2 .

It is a super-2 number, since 2×1656369000000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1656369000001) by changing a digit.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 127412999994 + ... + 127413000006.

Almost surely, 2^{1656369000000} is an apocalyptic number.

1656369000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1656369000000 is the 1287000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1656369000000

1656369000000 is an abundant number, since it is smaller than the sum of its proper divisors (5648565093303).

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

1656369000000 is an frugal number, since it uses more digits than its factorization.

1656369000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Multiplying 1656369000000 by its sum of digits (36), we get a square (59629284000000 = 7722000²).

1656369000000 divided by its sum of digits (36) gives a square (46010250000 = 214500²).

The spelling of 1656369000000 in words is "one trillion, six hundred fifty-six billion, three hundred sixty-nine million", and thus it is an aban number.