351633142364 has 72 divisors (see below), whose sum is σ = 748574064000. Its totient is φ = 141549352704.

The previous prime is 351633142337. The next prime is 351633142369. The reversal of 351633142364 is 463241336153.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351633142369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3994367 + ... + 4081449.

It is an arithmetic number, because the mean of its divisors is an integer number (10396862000).

Almost surely, 2^351633142364 is an apocalyptic number.

351633142364 is a gapful number since it is divisible by the number (34) 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 351633142364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374287032000).

351633142364 is an abundant number, since it is smaller than the sum of its proper divisors (396940921636).

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

351633142364 is a wasteful number, since it uses less digits than its factorization.

351633142364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87627 (or 87608 counting only the distinct ones).

The product of its digits is 466560, while the sum is 41.

The spelling of 351633142364 in words is "three hundred fifty-one billion, six hundred thirty-three million, one hundred forty-two thousand, three hundred sixty-four".