1656444934144 has 288 divisors, whose sum is σ = 4526439699600. Its totient is φ = 595719290880.

The previous prime is 1656444934141. The next prime is 1656444934169. The reversal of 1656444934144 is 4414394446561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1656444934141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14292622 + ... + 14408050.

Almost surely, 2^{1656444934144} is an apocalyptic number.

1656444934144 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 1656444934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263219849800).

1656444934144 is an abundant number, since it is smaller than the sum of its proper divisors (2869994765456).

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

1656444934144 is a wasteful number, since it uses less digits than its factorization.

1656444934144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115489 (or 115462 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 55.

The spelling of 1656444934144 in words is "one trillion, six hundred fifty-six billion, four hundred forty-four million, nine hundred thirty-four thousand, one hundred forty-four".