345669120000 has 650 divisors, whose sum is σ = 1291128228588. Its totient is φ = 92123136000.

The previous prime is 345669119927. The next prime is 345669120023. The reversal of 345669120000 is 21966543.

It is a happy number.

345669120000 is a `hidden beast` number, since 3 + 4 + 566 + 91 + 2 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 207359167 + ... + 207360833.

Almost surely, 2^345669120000 is an apocalyptic number.

345669120000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345669120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645564114294).

345669120000 is an abundant number, since it is smaller than the sum of its proper divisors (945459108588).

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

345669120000 is an frugal number, since it uses more digits than its factorization.

345669120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 345669120000 in words is "three hundred forty-five billion, six hundred sixty-nine million, one hundred twenty thousand".