226087531084800 has 2112 divisors, whose sum is σ = 1096019394554880. Its totient is φ = 44215566336000.

The previous prime is 226087531084787. The next prime is 226087531084861. The reversal of 226087531084800 is 8480135780622.

226087531084800 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 8 + 7 + 53 + 108 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×226087531084800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 904655860 + ... + 904905740.

Almost surely, 2^{226087531084800} is an apocalyptic number.

226087531084800 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 226087531084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548009697277440).

226087531084800 is an abundant number, since it is smaller than the sum of its proper divisors (869931863470080).

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

226087531084800 is a wasteful number, since it uses less digits than its factorization.

226087531084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249955 (or 249926 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 226087531084800 in words is "two hundred twenty-six trillion, eighty-seven billion, five hundred thirty-one million, eighty-four thousand, eight hundred".