345401138425 has 36 divisors (see below), whose sum is σ = 527530817340. Its totient is φ = 222914334720.

The previous prime is 345401138419. The next prime is 345401138437. The reversal of 345401138425 is 524831104543.

It can be written as a sum of positive squares in 6 ways, for example, as 619611664 + 344781526761 = 24892^2 + 587181^2 .

It is not a de Polignac number, because 345401138425 - 2⁵ = 345401138393 is a prime.

It is a super-2 number, since 2×345401138425² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 8272120 + ... + 8313769.

It is an arithmetic number, because the mean of its divisors is an integer number (14653633815).

Almost surely, 2^345401138425 is an apocalyptic number.

345401138425 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

345401138425 is a deficient number, since it is larger than the sum of its proper divisors (182129678915).

345401138425 is a wasteful number, since it uses less digits than its factorization.

345401138425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16585930 (or 16585918 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 345401138425 in words is "three hundred forty-five billion, four hundred one million, one hundred thirty-eight thousand, four hundred twenty-five".