345154867200 has 1872 divisors, whose sum is σ = 1521722145216. Its totient is φ = 76441190400.

The previous prime is 345154867193. The next prime is 345154867207. The reversal of 345154867200 is 2768451543.

345154867200 is a `hidden beast` number, since 3 + 45 + 1 + 548 + 67 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (345154867193) and next prime (345154867207).

It is a tau number, because it is divible by the number of its divisors (1872).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345154867207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3558297552 + ... + 3558297648.

Almost surely, 2^345154867200 is an apocalyptic number.

345154867200 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 345154867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760861072608).

345154867200 is an abundant number, since it is smaller than the sum of its proper divisors (1176567278016).

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

345154867200 is a wasteful number, since it uses less digits than its factorization.

345154867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 345154867200 in words is "three hundred forty-five billion, one hundred fifty-four million, eight hundred sixty-seven thousand, two hundred".