1656144974736 has 200 divisors, whose sum is σ = 5479083899520. Its totient is φ = 473101917696.

The previous prime is 1656144974713. The next prime is 1656144974801. The reversal of 1656144974736 is 6374794416561.

1656144974736 is a `hidden beast` number, since 1 + 6 + 5 + 614 + 4 + 9 + 7 + 4 + 7 + 3 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68290965 + ... + 68315211.

Almost surely, 2^{1656144974736} is an apocalyptic number.

1656144974736 is a gapful number since it is divisible by the number (16) 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 1656144974736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739541949760).

1656144974736 is an abundant number, since it is smaller than the sum of its proper divisors (3822938924784).

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

1656144974736 is a wasteful number, since it uses less digits than its factorization.

1656144974736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31803 (or 31788 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 1656144974736 in words is "one trillion, six hundred fifty-six billion, one hundred forty-four million, nine hundred seventy-four thousand, seven hundred thirty-six".