351953355852 has 216 divisors, whose sum is σ = 1086735711600. Its totient is φ = 98216810496.

The previous prime is 351953355851. The next prime is 351953355863. The reversal of 351953355852 is 258553359153.

It is a happy number.

351953355852 is a `hidden beast` number, since 3 + 5 + 1 + 9 + 5 + 33 + 558 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (351953355851) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9766924 + ... + 9802892.

It is an arithmetic number, because the mean of its divisors is an integer number (5031183850).

Almost surely, 2^351953355852 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 351953355852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543367855800).

351953355852 is an abundant number, since it is smaller than the sum of its proper divisors (734782355748).

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

351953355852 is a wasteful number, since it uses less digits than its factorization.

351953355852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36082 (or 36024 counting only the distinct ones).

The product of its digits is 12150000, while the sum is 54.

The spelling of 351953355852 in words is "three hundred fifty-one billion, nine hundred fifty-three million, three hundred fifty-five thousand, eight hundred fifty-two".