345589467530076 has 216 divisors, whose sum is σ = 1124192997083520. Its totient is φ = 88499223086400.

The previous prime is 345589467530063. The next prime is 345589467530089. The reversal of 345589467530076 is 670035764985543.

It is a happy number.

345589467530076 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 89 + 4 + 6 + 7 + 530 + 0 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (345589467530063) and next prime (345589467530089).

It is a junction number, because it is equal to n+sod(n) for n = 345589467529986 and 345589467530013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124046386 + ... + 126801753.

It is an arithmetic number, because the mean of its divisors is an integer number (5204597208720).

Almost surely, 2^{345589467530076} is an apocalyptic number.

345589467530076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

345589467530076 is an abundant number, since it is smaller than the sum of its proper divisors (778603529553444).

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

345589467530076 is a wasteful number, since it uses less digits than its factorization.

345589467530076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250848245 (or 250848233 counting only the distinct ones).

The product of its (nonzero) digits is 2286144000, while the sum is 72.

The spelling of 345589467530076 in words is "three hundred forty-five trillion, five hundred eighty-nine billion, four hundred sixty-seven million, five hundred thirty thousand, seventy-six".