1656214739712 has 360 divisors, whose sum is σ = 5351190111344. Its totient is φ = 506464690176.

The previous prime is 1656214739657. The next prime is 1656214739719. The reversal of 1656214739712 is 2179374126561.

1656214739712 is a `hidden beast` number, since 1 + 6 + 5 + 621 + 4 + 7 + 3 + 9 + 7 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1656214739719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43920738 + ... + 43958430.

Almost surely, 2^{1656214739712} is an apocalyptic number.

1656214739712 is a gapful number since it is divisible by the number (12) 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 1656214739712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675595055672).

1656214739712 is an abundant number, since it is smaller than the sum of its proper divisors (3694975371632).

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

1656214739712 is a wasteful number, since it uses less digits than its factorization.

1656214739712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37897 (or 37874 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 1656214739712 in words is "one trillion, six hundred fifty-six billion, two hundred fourteen million, seven hundred thirty-nine thousand, seven hundred twelve".