345161516076 has 144 divisors (see below), whose sum is σ = 972442467360. Its totient is φ = 102495375360.

The previous prime is 345161516041. The next prime is 345161516107. The reversal of 345161516076 is 670615161543.

345161516076 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 61 + 516 + 0 + 76 = 666.

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 47 ways as a sum of consecutive naturals, for example, 41268271 + ... + 41276633.

It is an arithmetic number, because the mean of its divisors is an integer number (6753072690).

Almost surely, 2^345161516076 is an apocalyptic number.

345161516076 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 345161516076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486221233680).

345161516076 is an abundant number, since it is smaller than the sum of its proper divisors (627280951284).

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

345161516076 is a wasteful number, since it uses less digits than its factorization.

345161516076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11456 (or 11451 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 345161516076 in words is "three hundred forty-five billion, one hundred sixty-one million, five hundred sixteen thousand, seventy-six".