345209188716 has 180 divisors, whose sum is σ = 1062435012408. Its totient is φ = 97442497152.

The previous prime is 345209188699. The next prime is 345209188763. The reversal of 345209188716 is 617881902543.

345209188716 is a `hidden beast` number, since 3 + 452 + 0 + 9 + 188 + 7 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1186720 + ... + 1448696.

It is a 1-persistent number, because it is pandigital, but 2⋅345209188716 = 690418377432 is not.

Almost surely, 2^345209188716 is an apocalyptic number.

345209188716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345209188716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531217506204).

345209188716 is an abundant number, since it is smaller than the sum of its proper divisors (717225823692).

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

345209188716 is a wasteful number, since it uses less digits than its factorization.

345209188716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262090 (or 262072 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 345209188716 in words is "three hundred forty-five billion, two hundred nine million, one hundred eighty-eight thousand, seven hundred sixteen".