345866047251 has 12 divisors (see below), whose sum is σ = 488287407816. Its totient is φ = 217011355200.

The previous prime is 345866047237. The next prime is 345866047273. The reversal of 345866047251 is 152740668543.

It is a de Polignac number, because none of the positive numbers 2^k-345866047251 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 345866047194 and 345866047203.

It is not an unprimeable number, because it can be changed into a prime (345866047201) 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 11 ways as a sum of consecutive naturals, for example, 4158726 + ... + 4241076.

It is an arithmetic number, because the mean of its divisors is an integer number (40690617318).

Almost surely, 2^345866047251 is an apocalyptic number.

345866047251 is a deficient number, since it is larger than the sum of its proper divisors (142421360565).

345866047251 is an frugal number, since it uses more digits than its factorization.

345866047251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164722 (or 82371 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

Multiplying 345866047251 by its sum of digits (51), we get a square (17639168409801 = 4199901²).

345866047251 divided by its sum of digits (51) gives a square (6781687201 = 82351²).

The spelling of 345866047251 in words is "three hundred forty-five billion, eight hundred sixty-six million, forty-seven thousand, two hundred fifty-one".