577123413696 has 336 divisors, whose sum is σ = 1766066405376. Its totient is φ = 186768820224.

The previous prime is 577123413673. The next prime is 577123413721. The reversal of 577123413696 is 696314321775.

577123413696 is a `hidden beast` number, since 57 + 71 + 23 + 413 + 6 + 96 = 666.

577123413696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×577123413696² (a number of 24 digits) contains 22 as substring.

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

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, 92826780 + ... + 92832996.

It is an arithmetic number, because the mean of its divisors is an integer number (5256150016).

Almost surely, 2^577123413696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 577123413696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883033202688).

577123413696 is an abundant number, since it is smaller than the sum of its proper divisors (1188942991680).

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

577123413696 is a wasteful number, since it uses less digits than its factorization.

577123413696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6418 (or 6396 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 577123413696 in words is "five hundred seventy-seven billion, one hundred twenty-three million, four hundred thirteen thousand, six hundred ninety-six".