2245501665792 has 720 divisors, whose sum is σ = 8425047574944. Its totient is φ = 568995840000.

The previous prime is 2245501665787. The next prime is 2245501665793. The reversal of 2245501665792 is 2975661055422.

2245501665792 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 5 + 0 + 1 + 66 + 579 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2245501665793) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101821167 + ... + 101843217.

Almost surely, 2^{2245501665792} is an apocalyptic number.

2245501665792 is a gapful number since it is divisible by the number (22) 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 2245501665792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212523787472).

2245501665792 is an abundant number, since it is smaller than the sum of its proper divisors (6179545909152).

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

2245501665792 is a wasteful number, since it uses less digits than its factorization.

2245501665792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22141 (or 22115 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 2245501665792 in words is "two trillion, two hundred forty-five billion, five hundred one million, six hundred sixty-five thousand, seven hundred ninety-two".