345539323015680 has 160 divisors (see below), whose sum is σ = 1162785288139200. Its totient is φ = 87294144724992.

The previous prime is 345539323015637. The next prime is 345539323015727. The reversal of 345539323015680 is 86510323935543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×345539323015680³ (a number of 45 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 345539323015680.

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 15 ways as a sum of consecutive naturals, for example, 1183856695 + ... + 1184148534.

It is an arithmetic number, because the mean of its divisors is an integer number (7267408050870).

Almost surely, 2^{345539323015680} is an apocalyptic number.

345539323015680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345539323015680 is an abundant number, since it is smaller than the sum of its proper divisors (817245965123520).

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

345539323015680 is a wasteful number, since it uses less digits than its factorization.

345539323015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368005274 (or 2368005258 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 57.

The spelling of 345539323015680 in words is "three hundred forty-five trillion, five hundred thirty-nine billion, three hundred twenty-three million, fifteen thousand, six hundred eighty".