1345164222600 has 288 divisors, whose sum is σ = 5061389711040. Its totient is φ = 317286720000.

The previous prime is 1345164222599. The next prime is 1345164222613. The reversal of 1345164222600 is 62224615431.

1345164222600 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 1 + 6 + 42 + 2 + 2 + 600 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 185476 + ... + 1650675.

It is an arithmetic number, because the mean of its divisors is an integer number (17574269830).

Almost surely, 2^{1345164222600} is an apocalyptic number.

1345164222600 is a gapful number since it is divisible by the number (10) 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 1345164222600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530694855520).

1345164222600 is an abundant number, since it is smaller than the sum of its proper divisors (3716225488440).

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

1345164222600 is a wasteful number, since it uses less digits than its factorization.

1345164222600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836221 (or 1836209 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1345164222600 in words is "one trillion, three hundred forty-five billion, one hundred sixty-four million, two hundred twenty-two thousand, six hundred".