345462151122000 has 320 divisors, whose sum is σ = 1350024214705920. Its totient is φ = 83748400128000.

The previous prime is 345462151121981. The next prime is 345462151122001. The reversal of 345462151122000 is 221151264543.

345462151122000 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 621 + 5 + 1 + 1 + 2 + 20 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345462151122001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 290199057 + ... + 291387056.

It is an arithmetic number, because the mean of its divisors is an integer number (4218825670956).

Almost surely, 2^{345462151122000} is an apocalyptic number.

345462151122000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345462151122000 is an abundant number, since it is smaller than the sum of its proper divisors (1004562063583920).

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

345462151122000 is a wasteful number, since it uses less digits than its factorization.

345462151122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581586156 (or 581586134 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 345462151122000 in words is "three hundred forty-five trillion, four hundred sixty-two billion, one hundred fifty-one million, one hundred twenty-two thousand".