345611624401 has 8 divisors (see below), whose sum is σ = 366192563040. Its totient is φ = 325058557248.

The previous prime is 345611624359. The next prime is 345611624411. The reversal of 345611624401 is 104426116543.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 345611624401 - 2¹⁹ = 345611100113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345611624411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6942331 + ... + 6991936.

It is an arithmetic number, because the mean of its divisors is an integer number (45774070380).

Almost surely, 2^345611624401 is an apocalyptic number.

It is an amenable number.

345611624401 is a deficient number, since it is larger than the sum of its proper divisors (20580938639).

345611624401 is a wasteful number, since it uses less digits than its factorization.

345611624401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13935743.

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 345611624401 in words is "three hundred forty-five billion, six hundred eleven million, six hundred twenty-four thousand, four hundred one".