352227131352 has 144 divisors (see below), whose sum is σ = 971415188640. Its totient is φ = 115296048000.

The previous prime is 352227131351. The next prime is 352227131401. The reversal of 352227131352 is 253131722253.

352227131352 is a `hidden beast` number, since 3 + 5 + 2 + 2 + 271 + 31 + 352 = 666.

It is a super-2 number, since 2×352227131352² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352227131351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98358202 + ... + 98361782.

It is an arithmetic number, because the mean of its divisors is an integer number (6745938810).

Almost surely, 2^352227131352 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 352227131352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485707594320).

352227131352 is an abundant number, since it is smaller than the sum of its proper divisors (619188057288).

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

352227131352 is a wasteful number, since it uses less digits than its factorization.

352227131352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006 (or 3928 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The spelling of 352227131352 in words is "three hundred fifty-two billion, two hundred twenty-seven million, one hundred thirty-one thousand, three hundred fifty-two".