356142564 has 72 divisors (see below), whose sum is σ = 931727160. Its totient is φ = 114624000.

The previous prime is 356142541. The next prime is 356142599. The reversal of 356142564 is 465241653.

356142564 is a `hidden beast` number, since 3 + 56 + 1 + 42 + 564 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23444964 + 332697600 = 4842^2 + 18240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147882 + ... + 150270.

It is an arithmetic number, because the mean of its divisors is an integer number (12940655).

Almost surely, 2^356142564 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 356142564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465863580).

356142564 is an abundant number, since it is smaller than the sum of its proper divisors (575584596).

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

356142564 is a wasteful number, since it uses less digits than its factorization.

356142564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2536 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 356142564 is about 18871.7398244041. The cubic root of 356142564 is about 708.8287002368.

The spelling of 356142564 in words is "three hundred fifty-six million, one hundred forty-two thousand, five hundred sixty-four".