345724121733 has 64 divisors (see below), whose sum is σ = 498634752000. Its totient is φ = 212408904960.

The previous prime is 345724121711. The next prime is 345724121753. The reversal of 345724121733 is 337121427543.

It is a happy number.

It is not a de Polignac number, because 345724121733 - 2²¹ = 345722024581 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345724121753) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 164707918 + ... + 164710016.

It is an arithmetic number, because the mean of its divisors is an integer number (7791168000).

Almost surely, 2^345724121733 is an apocalyptic number.

It is an amenable number.

345724121733 is a deficient number, since it is larger than the sum of its proper divisors (152910630267).

345724121733 is a wasteful number, since it uses less digits than its factorization.

345724121733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682.

The product of its digits is 423360, while the sum is 42.

The spelling of 345724121733 in words is "three hundred forty-five billion, seven hundred twenty-four million, one hundred twenty-one thousand, seven hundred thirty-three".