2254651444656 has 120 divisors (see below), whose sum is σ = 7194990741120. Its totient is φ = 652930725888.

The previous prime is 2254651444601. The next prime is 2254651444711. The reversal of 2254651444656 is 6564441564522.

2254651444656 is a `hidden beast` number, since 2 + 2 + 546 + 5 + 1 + 4 + 4 + 46 + 56 = 666.

2254651444656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2254651444601) and next prime (2254651444711).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35391936 + ... + 35455583.

It is an arithmetic number, because the mean of its divisors is an integer number (59958256176).

Almost surely, 2^{2254651444656} is an apocalyptic number.

2254651444656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2254651444656 is an abundant number, since it is smaller than the sum of its proper divisors (4940339296464).

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

2254651444656 is a wasteful number, since it uses less digits than its factorization.

2254651444656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70847563 (or 70847554 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 54.

The spelling of 2254651444656 in words is "two trillion, two hundred fifty-four billion, six hundred fifty-one million, four hundred forty-four thousand, six hundred fifty-six".