345921481953 has 32 divisors (see below), whose sum is σ = 541804560000. Its totient is φ = 217522604736.

The previous prime is 345921481949. The next prime is 345921481967. The reversal of 345921481953 is 359184129543.

345921481953 is a `hidden beast` number, since 3 + 4 + 59 + 21 + 481 + 95 + 3 = 666.

It is not a de Polignac number, because 345921481953 - 2² = 345921481949 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 345921481953.

It is not an unprimeable number, because it can be changed into a prime (345921483953) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1354818 + ... + 1589771.

It is an arithmetic number, because the mean of its divisors is an integer number (16931392500).

Almost surely, 2^345921481953 is an apocalyptic number.

It is an amenable number.

345921481953 is a deficient number, since it is larger than the sum of its proper divisors (195883078047).

345921481953 is a wasteful number, since it uses less digits than its factorization.

345921481953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944846 (or 2944840 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 345921481953 in words is "three hundred forty-five billion, nine hundred twenty-one million, four hundred eighty-one thousand, nine hundred fifty-three".