351318403072 has 768 divisors, whose sum is σ = 977453568000. Its totient is φ = 124853944320.

The previous prime is 351318403061. The next prime is 351318403081. The reversal of 351318403072 is 270304813153.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4812580828 + ... + 4812580900.

It is an arithmetic number, because the mean of its divisors is an integer number (1272726000).

Almost surely, 2^351318403072 is an apocalyptic number.

351318403072 is a gapful number since it is divisible by the number (32) 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 351318403072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488726784000).

351318403072 is an abundant number, since it is smaller than the sum of its proper divisors (626135164928).

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

351318403072 is a wasteful number, since it uses less digits than its factorization.

351318403072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 351318403072 in words is "three hundred fifty-one billion, three hundred eighteen million, four hundred three thousand, seventy-two".