345963618072 has 128 divisors (see below), whose sum is σ = 1018822195200. Its totient is φ = 108584841600.

The previous prime is 345963618061. The next prime is 345963618113. The reversal of 345963618072 is 270816369543.

345963618072 is a `hidden beast` number, since 3 + 4 + 596 + 36 + 18 + 0 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450454 + ... + 945957.

It is an arithmetic number, because the mean of its divisors is an integer number (7959548400).

It is a 1-persistent number, because it is pandigital, but 2⋅345963618072 = 691927236144 is not.

Almost surely, 2^345963618072 is an apocalyptic number.

It is an amenable number.

345963618072 is an abundant number, since it is smaller than the sum of its proper divisors (672858577128).

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

345963618072 is a wasteful number, since it uses less digits than its factorization.

345963618072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396494 (or 1396484 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 345963618072 in words is "three hundred forty-five billion, nine hundred sixty-three million, six hundred eighteen thousand, seventy-two".