345839861052 has 216 divisors, whose sum is σ = 1042771242240. Its totient is φ = 96317928000.

The previous prime is 345839861033. The next prime is 345839861071. The reversal of 345839861052 is 250168938543.

345839861052 is a `hidden beast` number, since 3 + 4 + 583 + 9 + 8 + 6 + 1 + 0 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (345839861033) and next prime (345839861071).

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

It is a self number, because there is not a number n which added to its sum of digits gives 345839861052.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20801599 + ... + 20818217.

It is an arithmetic number, because the mean of its divisors is an integer number (4827644640).

Almost surely, 2^345839861052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345839861052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521385621120).

345839861052 is an abundant number, since it is smaller than the sum of its proper divisors (696931381188).

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

345839861052 is a wasteful number, since it uses less digits than its factorization.

345839861052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16941 (or 16929 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 345839861052 in words is "three hundred forty-five billion, eight hundred thirty-nine million, eight hundred sixty-one thousand, fifty-two".