351296225280 has 2448 divisors, whose sum is σ = 1762210797984. Its totient is φ = 63417876480.

The previous prime is 351296225279. The next prime is 351296225299. The reversal of 351296225280 is 82522692153.

351296225280 is a `hidden beast` number, since 3 + 5 + 12 + 9 + 622 + 5 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2448).

It is a super-2 number, since 2×351296225280² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20664483832 + ... + 20664483848.

Almost surely, 2^351296225280 is an apocalyptic number.

351296225280 is a gapful number since it is divisible by the number (30) 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 351296225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881105398992).

351296225280 is an abundant number, since it is smaller than the sum of its proper divisors (1410914572704).

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

351296225280 is a wasteful number, since it uses less digits than its factorization.

351296225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 351296225280 in words is "three hundred fifty-one billion, two hundred ninety-six million, two hundred twenty-five thousand, two hundred eighty".