574311120768 has 1152 divisors, whose sum is σ = 2243966250240. Its totient is φ = 136868659200.

The previous prime is 574311120731. The next prime is 574311120781. The reversal of 574311120768 is 867021113475.

574311120768 is a `hidden beast` number, since 5 + 7 + 431 + 1 + 1 + 207 + 6 + 8 = 666.

574311120768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×574311120768³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1102324348 + ... + 1102324868.

It is an arithmetic number, because the mean of its divisors is an integer number (1947887370).

Almost surely, 2^574311120768 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 574311120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121983125120).

574311120768 is an abundant number, since it is smaller than the sum of its proper divisors (1669655129472).

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

574311120768 is a wasteful number, since it uses less digits than its factorization.

574311120768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 574311120768 in words is "five hundred seventy-four billion, three hundred eleven million, one hundred twenty thousand, seven hundred sixty-eight".