2251164522145 has 96 divisors (see below), whose sum is σ = 3464577297792. Its totient is φ = 1388419200000.

The previous prime is 2251164522091. The next prime is 2251164522151. The reversal of 2251164522145 is 5412254611522.

It is not a de Polignac number, because 2251164522145 - 2⁷ = 2251164522017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2251164522098 and 2251164522107.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 580045605 + ... + 580049485.

It is an arithmetic number, because the mean of its divisors is an integer number (36089346852).

Almost surely, 2^{2251164522145} is an apocalyptic number.

It is an amenable number.

2251164522145 is a deficient number, since it is larger than the sum of its proper divisors (1213412775647).

2251164522145 is a wasteful number, since it uses less digits than its factorization.

2251164522145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6143 (or 6136 counting only the distinct ones).

The product of its digits is 192000, while the sum is 40.

The spelling of 2251164522145 in words is "two trillion, two hundred fifty-one billion, one hundred sixty-four million, five hundred twenty-two thousand, one hundred forty-five".