2254315763201 has 8 divisors (see below), whose sum is σ = 2258561713344. Its totient is φ = 2250070105680.

The previous prime is 2254315763173. The next prime is 2254315763207. The reversal of 2254315763201 is 1023675134522.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2254315763201 - 2³⁴ = 2237135894017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2254315763207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21068900 + ... + 21175626.

It is an arithmetic number, because the mean of its divisors is an integer number (282320214168).

Almost surely, 2^{2254315763201} is an apocalyptic number.

It is an amenable number.

2254315763201 is a deficient number, since it is larger than the sum of its proper divisors (4245950143).

2254315763201 is a wasteful number, since it uses less digits than its factorization.

2254315763201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146311.

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 2254315763201 in words is "two trillion, two hundred fifty-four billion, three hundred fifteen million, seven hundred sixty-three thousand, two hundred one".