2192231145600 has 144 divisors (see below), whose sum is σ = 7822383216570. Its totient is φ = 584594964480.

The previous prime is 2192231145589. The next prime is 2192231145617. The reversal of 2192231145600 is 65411322912.

2192231145600 is a `hidden beast` number, since 2 + 1 + 9 + 2 + 2 + 3 + 1 + 1 + 45 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2069938257984 + 122292887616 = 1438728^2 + 349704^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 38030769 + ... + 38088368.

Almost surely, 2^{2192231145600} is an apocalyptic number.

2192231145600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2192231145600 is an abundant number, since it is smaller than the sum of its proper divisors (5630152070970).

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

2192231145600 is a wasteful number, since it uses less digits than its factorization.

2192231145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76119167 (or 76119147 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 2192231145600 in words is "two trillion, one hundred ninety-two billion, two hundred thirty-one million, one hundred forty-five thousand, six hundred".