345923459481600 has 8208 divisors, whose sum is σ = 1812868414995456. Its totient is φ = 64210599936000.

The previous prime is 345923459481599. The next prime is 345923459481637. The reversal of 345923459481600 is 6184954329543.

It is a happy number.

345923459481600 is a `hidden beast` number, since 3 + 4 + 5 + 9 + 2 + 34 + 594 + 8 + 1 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 11158821273585 + ... + 11158821273615.

Almost surely, 2^{345923459481600} is an apocalyptic number.

345923459481600 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 345923459481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906434207497728).

345923459481600 is an abundant number, since it is smaller than the sum of its proper divisors (1466944955513856).

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

345923459481600 is an equidigital number, since it uses as much as digits as its factorization.

345923459481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 345923459481600 in words is "three hundred forty-five trillion, nine hundred twenty-three billion, four hundred fifty-nine million, four hundred eighty-one thousand, six hundred".