1345655632200 has 384 divisors, whose sum is σ = 4710624215040. Its totient is φ = 314818560000.

The previous prime is 1345655632183. The next prime is 1345655632241. The reversal of 1345655632200 is 22365565431.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75079240 + ... + 75097160.

It is an arithmetic number, because the mean of its divisors is an integer number (12267250560).

Almost surely, 2^{1345655632200} is an apocalyptic number.

1345655632200 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 1345655632200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355312107520).

1345655632200 is an abundant number, since it is smaller than the sum of its proper divisors (3364968582840).

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

1345655632200 is a wasteful number, since it uses less digits than its factorization.

1345655632200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18349 (or 18340 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 1345655632200 in words is "one trillion, three hundred forty-five billion, six hundred fifty-five million, six hundred thirty-two thousand, two hundred".