351542103164 has 288 divisors, whose sum is σ = 830553292800. Its totient is φ = 129007105920.

The previous prime is 351542103149. The next prime is 351542103169. The reversal of 351542103164 is 461301245153.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351542103169) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114172577 + ... + 114175655.

It is an arithmetic number, because the mean of its divisors is an integer number (2883865600).

Almost surely, 2^351542103164 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 351542103164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415276646400).

351542103164 is an abundant number, since it is smaller than the sum of its proper divisors (479011189636).

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

351542103164 is a wasteful number, since it uses less digits than its factorization.

351542103164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 351542103164 in words is "three hundred fifty-one billion, five hundred forty-two million, one hundred three thousand, one hundred sixty-four".