345231400404000 has 192 divisors, whose sum is σ = 1233794256170112. Its totient is φ = 83692460672000.

The previous prime is 345231400403933. The next prime is 345231400404067. The reversal of 345231400404000 is 404004132543.

It is an interprime number because it is at equal distance from previous prime (345231400403933) and next prime (345231400404067).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1307562699 + ... + 1307826698.

It is an arithmetic number, because the mean of its divisors is an integer number (6426011750886).

Almost surely, 2^{345231400404000} is an apocalyptic number.

345231400404000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345231400404000 is an abundant number, since it is smaller than the sum of its proper divisors (888562855766112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345231400404000 is a wasteful number, since it uses less digits than its factorization.

345231400404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615389436 (or 2615389418 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 345231400404000 its reverse (404004132543), we get a palindrome (345635404536543).

The spelling of 345231400404000 in words is "three hundred forty-five trillion, two hundred thirty-one billion, four hundred million, four hundred four thousand".