2245565341656 has 256 divisors, whose sum is σ = 7690677120000. Its totient is φ = 591193230336.

The previous prime is 2245565341631. The next prime is 2245565341661. The reversal of 2245565341656 is 6561435655422.

2245565341656 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 56 + 534 + 1 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11083875 + ... + 11284653.

It is an arithmetic number, because the mean of its divisors is an integer number (30041707500).

Almost surely, 2^{2245565341656} is an apocalyptic number.

2245565341656 is a gapful number since it is divisible by the number (26) 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 2245565341656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845338560000).

2245565341656 is an abundant number, since it is smaller than the sum of its proper divisors (5445111778344).

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

2245565341656 is a wasteful number, since it uses less digits than its factorization.

2245565341656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201383 (or 201373 counting only the distinct ones).

The product of its digits is 25920000, while the sum is 54.

The spelling of 2245565341656 in words is "two trillion, two hundred forty-five billion, five hundred sixty-five million, three hundred forty-one thousand, six hundred fifty-six".