225454246879680 has 2688 divisors, whose sum is σ = 1016687914905600. Its totient is φ = 45797708759040.

The previous prime is 225454246879679. The next prime is 225454246879721. The reversal of 225454246879680 is 86978642454522.

It is a happy number.

225454246879680 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 542 + 4 + 6 + 8 + 79 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 225454246879599 and 225454246879608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 173027049909 + ... + 173027051211.

It is an arithmetic number, because the mean of its divisors is an integer number (378232111200).

Almost surely, 2^{225454246879680} is an apocalyptic number.

225454246879680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225454246879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508343957452800).

225454246879680 is an abundant number, since it is smaller than the sum of its proper divisors (791233668025920).

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

225454246879680 is a wasteful number, since it uses less digits than its factorization.

225454246879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 1857945600, while the sum is 72.

The spelling of 225454246879680 in words is "two hundred twenty-five trillion, four hundred fifty-four billion, two hundred forty-six million, eight hundred seventy-nine thousand, six hundred eighty".