345625583587401 has 16 divisors (see below), whose sum is σ = 496287444369024. Its totient is φ = 212690714630784.

The previous prime is 345625583587327. The next prime is 345625583587429. The reversal of 345625583587401 is 104785385526543.

It is a happy number.

It is not a de Polignac number, because 345625583587401 - 2²⁹ = 345625046716489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345625583587481) 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 15 ways as a sum of consecutive naturals, for example, 36361341 + ... + 44870906.

It is an arithmetic number, because the mean of its divisors is an integer number (31017965273064).

Almost surely, 2^{345625583587401} is an apocalyptic number.

It is an amenable number.

345625583587401 is a deficient number, since it is larger than the sum of its proper divisors (150661860781623).

345625583587401 is a wasteful number, since it uses less digits than its factorization.

345625583587401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81341360.

The product of its (nonzero) digits is 483840000, while the sum is 66.

The spelling of 345625583587401 in words is "three hundred forty-five trillion, six hundred twenty-five billion, five hundred eighty-three million, five hundred eighty-seven thousand, four hundred one".