2057144914656 has 576 divisors, whose sum is σ = 6613503676416. Its totient is φ = 602256384000.

The previous prime is 2057144914637. The next prime is 2057144914661. The reversal of 2057144914656 is 6564194417502.

2057144914656 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 1 + 449 + 146 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1875245500 + ... + 1875246596.

It is an arithmetic number, because the mean of its divisors is an integer number (11481777216).

Almost surely, 2^{2057144914656} is an apocalyptic number.

2057144914656 is a gapful number since it is divisible by the number (26) 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 2057144914656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306751838208).

2057144914656 is an abundant number, since it is smaller than the sum of its proper divisors (4556358761760).

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

2057144914656 is a wasteful number, since it uses less digits than its factorization.

2057144914656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2057144914656 in words is "two trillion, fifty-seven billion, one hundred forty-four million, nine hundred fourteen thousand, six hundred fifty-six".