345531344542200 has 72 divisors (see below), whose sum is σ = 1160409432093600. Its totient is φ = 92141691877440.

The previous prime is 345531344542169. The next prime is 345531344542231. The reversal of 345531344542200 is 2245443135543.

345531344542200 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 31 + 344 + 54 + 220 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (345531344542169) and next prime (345531344542231).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×345531344542200² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 95980927240 + ... + 95980930839.

Almost surely, 2^{345531344542200} is an apocalyptic number.

345531344542200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345531344542200 is an abundant number, since it is smaller than the sum of its proper divisors (814878087551400).

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

345531344542200 is a wasteful number, since it uses less digits than its factorization.

345531344542200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191961858101 (or 191961858089 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 345531344542200 its reverse (2245443135543), we get a palindrome (347776787677743).

The spelling of 345531344542200 in words is "three hundred forty-five trillion, five hundred thirty-one billion, three hundred forty-four million, five hundred forty-two thousand, two hundred".