345444333071724 has 48 divisors (see below), whose sum is σ = 948278561378400. Its totient is φ = 108374692727808.

The previous prime is 345444333071701. The next prime is 345444333071767. The reversal of 345444333071724 is 427170333444543.

345444333071724 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 4 + 433 + 30 + 7 + 172 + 4 = 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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94075252269 + ... + 94075255940.

It is an arithmetic number, because the mean of its divisors is an integer number (19755803362050).

Almost surely, 2^{345444333071724} is an apocalyptic number.

345444333071724 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

345444333071724 is an abundant number, since it is smaller than the sum of its proper divisors (602834228306676).

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

345444333071724 is a wasteful number, since it uses less digits than its factorization.

345444333071724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188150508239 (or 188150508231 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 54.

The spelling of 345444333071724 in words is "three hundred forty-five trillion, four hundred forty-four billion, three hundred thirty-three million, seventy-one thousand, seven hundred twenty-four".