351131944416 has 144 divisors (see below), whose sum is σ = 1014334659072. Its totient is φ = 106277290240.

The previous prime is 351131944411. The next prime is 351131944481. The reversal of 351131944416 is 614449131153.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351131944411) 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, 10007095 + ... + 10042121.

It is an arithmetic number, because the mean of its divisors is an integer number (7043990688).

Almost surely, 2^351131944416 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 351131944416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507167329536).

351131944416 is an abundant number, since it is smaller than the sum of its proper divisors (663202714656).

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

351131944416 is a wasteful number, since it uses less digits than its factorization.

351131944416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35925 (or 35906 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The spelling of 351131944416 in words is "three hundred fifty-one billion, one hundred thirty-one million, nine hundred forty-four thousand, four hundred sixteen".