226964851200 has 1200 divisors, whose sum is σ = 906210391680. Its totient is φ = 55897620480.

The previous prime is 226964851187. The next prime is 226964851213. The reversal of 226964851200 is 2158469622.

226964851200 is a `hidden beast` number, since 2 + 2 + 6 + 96 + 48 + 512 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226964851187) and next prime (226964851213).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1392422319 + ... + 1392422481.

Almost surely, 2^226964851200 is an apocalyptic number.

226964851200 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 226964851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453105195840).

226964851200 is an abundant number, since it is smaller than the sum of its proper divisors (679245540480).

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

226964851200 is a wasteful number, since it uses less digits than its factorization.

226964851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 226964851200 in words is "two hundred twenty-six billion, nine hundred sixty-four million, eight hundred fifty-one thousand, two hundred".