345652431416640 has 448 divisors, whose sum is σ = 1229134002585600. Its totient is φ = 91437221578752.

The previous prime is 345652431416639. The next prime is 345652431416701. The reversal of 345652431416640 is 46614134256543.

345652431416640 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 5 + 2 + 431 + 4 + 166 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 13583216397 + ... + 13583241843.

Almost surely, 2^{345652431416640} is an apocalyptic number.

345652431416640 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 345652431416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614567001292800).

345652431416640 is an abundant number, since it is smaller than the sum of its proper divisors (883481571168960).

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

345652431416640 is a wasteful number, since it uses less digits than its factorization.

345652431416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37979 (or 37963 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 345652431416640 in words is "three hundred forty-five trillion, six hundred fifty-two billion, four hundred thirty-one million, four hundred sixteen thousand, six hundred forty".