557645055777414 has 96 divisors (see below), whose sum is σ = 1331250774317568. Its totient is φ = 167293852200000.

The previous prime is 557645055777401. The next prime is 557645055777427. The reversal of 557645055777414 is 414777550546755.

557645055777414 is a `hidden beast` number, since 5 + 5 + 7 + 6 + 4 + 5 + 0 + 5 + 577 + 7 + 41 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (557645055777401) and next prime (557645055777427).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203478339 + ... + 206200689.

It is an arithmetic number, because the mean of its divisors is an integer number (13867195565808).

Almost surely, 2^{557645055777414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557645055777414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665625387158784).

557645055777414 is an abundant number, since it is smaller than the sum of its proper divisors (773605718540154).

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

557645055777414 is a wasteful number, since it uses less digits than its factorization.

557645055777414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732714 (or 2732711 counting only the distinct ones).

The product of its (nonzero) digits is 2881200000, while the sum is 72.

The spelling of 557645055777414 in words is "five hundred fifty-seven trillion, six hundred forty-five billion, fifty-five million, seven hundred seventy-seven thousand, four hundred fourteen".