225689137015761 has 24 divisors (see below), whose sum is σ = 329144145432960. Its totient is φ = 149007492232416.

The previous prime is 225689137015757. The next prime is 225689137015829. The reversal of 225689137015761 is 167510731986522.

225689137015761 is a `hidden beast` number, since 2 + 2 + 56 + 8 + 9 + 1 + 3 + 7 + 0 + 1 + 576 + 1 = 666.

It is not a de Polignac number, because 225689137015761 - 2² = 225689137015757 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225689137011761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53179881 + ... + 57266726.

It is an arithmetic number, because the mean of its divisors is an integer number (13714339393040).

Almost surely, 2^{225689137015761} is an apocalyptic number.

It is an amenable number.

225689137015761 is a deficient number, since it is larger than the sum of its proper divisors (103455008417199).

225689137015761 is a wasteful number, since it uses less digits than its factorization.

225689137015761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110448805 (or 110448802 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 225689137015761 in words is "two hundred twenty-five trillion, six hundred eighty-nine billion, one hundred thirty-seven million, fifteen thousand, seven hundred sixty-one".