345451534353000 has 192 divisors, whose sum is σ = 1174077165053520. Its totient is φ = 91611456192000.

The previous prime is 345451534352983. The next prime is 345451534353007. The reversal of 345451534353000 is 353435154543.

345451534353000 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 51 + 534 + 35 + 30 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11708838425124 + 333742695927876 = 3421818^2 + 18268626^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (345451534353007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104402779 + ... + 107660778.

Almost surely, 2^{345451534353000} is an apocalyptic number.

345451534353000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345451534353000 is an abundant number, since it is smaller than the sum of its proper divisors (828625630700520).

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

345451534353000 is a wasteful number, since it uses less digits than its factorization.

345451534353000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212063765 (or 212063748 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 45.

The spelling of 345451534353000 in words is "three hundred forty-five trillion, four hundred fifty-one billion, five hundred thirty-four million, three hundred fifty-three thousand".