358351299072 has 1120 divisors, whose sum is σ = 1277361993600. Its totient is φ = 99916996608.

The previous prime is 358351299041. The next prime is 358351299109. The reversal of 358351299072 is 270992153853.

358351299072 is a `hidden beast` number, since 3 + 58 + 3 + 512 + 9 + 9 + 0 + 72 = 666.

It is a super-2 number, since 2×358351299072² (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 111 ways as a sum of consecutive naturals, for example, 15580491253 + ... + 15580491275.

It is an arithmetic number, because the mean of its divisors is an integer number (1140501780).

Almost surely, 2^358351299072 is an apocalyptic number.

358351299072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 358351299072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638680996800).

358351299072 is an abundant number, since it is smaller than the sum of its proper divisors (919010694528).

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

358351299072 is an frugal number, since it uses more digits than its factorization.

358351299072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 358351299072 in words is "three hundred fifty-eight billion, three hundred fifty-one million, two hundred ninety-nine thousand, seventy-two".