345262882201146 has 64 divisors (see below), whose sum is σ = 944308737657600. Its totient is φ = 91058342557248.

The previous prime is 345262882201103. The next prime is 345262882201373. The reversal of 345262882201146 is 641102288262543.

345262882201146 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 628 + 8 + 2 + 2 + 0 + 1 + 1 + 4 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 345262882201092 and 345262882201101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35130528481 + ... + 35130538308.

It is an arithmetic number, because the mean of its divisors is an integer number (14754824025900).

Almost surely, 2^{345262882201146} is an apocalyptic number.

345262882201146 is an abundant number, since it is smaller than the sum of its proper divisors (599045855456454).

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

345262882201146 is a wasteful number, since it uses less digits than its factorization.

345262882201146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70261066820 (or 70261066814 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 345262882201146 in words is "three hundred forty-five trillion, two hundred sixty-two billion, eight hundred eighty-two million, two hundred one thousand, one hundred forty-six".