345990631954680 has 96 divisors (see below), whose sum is σ = 1124601250172400. Its totient is φ = 92253362669568.

The previous prime is 345990631954679. The next prime is 345990631954691. The reversal of 345990631954680 is 86459136099543.

345990631954680 is a `hidden beast` number, since 3 + 4 + 5 + 9 + 9 + 0 + 63 + 19 + 546 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 345990631954599 and 345990631954608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53202169 + ... + 59350248.

Almost surely, 2^{345990631954680} is an apocalyptic number.

345990631954680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345990631954680 is an abundant number, since it is smaller than the sum of its proper divisors (778610618217720).

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

345990631954680 is a wasteful number, since it uses less digits than its factorization.

345990631954680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112560973 (or 112560966 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 72.

The spelling of 345990631954680 in words is "three hundred forty-five trillion, nine hundred ninety billion, six hundred thirty-one million, nine hundred fifty-four thousand, six hundred eighty".