352313591742 has 512 divisors, whose sum is σ = 1032553267200. Its totient is φ = 86618916864.

The previous prime is 352313591737. The next prime is 352313591767. The reversal of 352313591742 is 247195313253.

352313591742 is a `hidden beast` number, since 3 + 5 + 2 + 3 + 13 + 591 + 7 + 42 = 666.

352313591742 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×352313591742² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 754418593 + ... + 754419059.

It is an arithmetic number, because the mean of its divisors is an integer number (2016705600).

Almost surely, 2^352313591742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352313591742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516276633600).

352313591742 is an abundant number, since it is smaller than the sum of its proper divisors (680239675458).

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

352313591742 is a wasteful number, since it uses less digits than its factorization.

352313591742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 719 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The spelling of 352313591742 in words is "three hundred fifty-two billion, three hundred thirteen million, five hundred ninety-one thousand, seven hundred forty-two".