225610415706 has 144 divisors (see below), whose sum is σ = 505896894432. Its totient is φ = 67038266880.

The previous prime is 225610415629. The next prime is 225610415743. The reversal of 225610415706 is 607514016522.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 182384520 + ... + 182385756.

It is an arithmetic number, because the mean of its divisors is an integer number (3513172878).

Almost surely, 2^225610415706 is an apocalyptic number.

225610415706 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 225610415706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252948447216).

225610415706 is an abundant number, since it is smaller than the sum of its proper divisors (280286478726).

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

225610415706 is a wasteful number, since it uses less digits than its factorization.

225610415706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 225610415706 in words is "two hundred twenty-five billion, six hundred ten million, four hundred fifteen thousand, seven hundred six".