346145001125 has 32 divisors (see below), whose sum is σ = 538583655168. Its totient is φ = 215778696000.

The previous prime is 346145001091. The next prime is 346145001229. The reversal of 346145001125 is 521100541643.

It is not a de Polignac number, because 346145001125 - 2⁶ = 346145001061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 346145001091 and 346145001100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17971934 + ... + 17991183.

It is an arithmetic number, because the mean of its divisors is an integer number (16830739224).

Almost surely, 2^346145001125 is an apocalyptic number.

346145001125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

346145001125 is a deficient number, since it is larger than the sum of its proper divisors (192438654043).

346145001125 is a wasteful number, since it uses less digits than its factorization.

346145001125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35963150 (or 35963140 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 346145001125 its reverse (521100541643), we get a palindrome (867245542768).

The spelling of 346145001125 in words is "three hundred forty-six billion, one hundred forty-five million, one thousand, one hundred twenty-five".