226292984064 has 648 divisors, whose sum is σ = 815864562240. Its totient is φ = 61191770112.

The previous prime is 226292984059. The next prime is 226292984069. The reversal of 226292984064 is 460489292622.

226292984064 is a `hidden beast` number, since 2 + 2 + 62 + 92 + 98 + 406 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (226292984059) and next prime (226292984069).

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a self number, because there is not a number n which added to its sum of digits gives 226292984064.

It is not an unprimeable number, because it can be changed into a prime (226292984069) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 223388422 + ... + 223389434.

Almost surely, 2^226292984064 is an apocalyptic number.

226292984064 is a gapful number since it is divisible by the number (24) 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 226292984064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407932281120).

226292984064 is an abundant number, since it is smaller than the sum of its proper divisors (589571578176).

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

226292984064 is an frugal number, since it uses more digits than its factorization.

226292984064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 226292984064 in words is "two hundred twenty-six billion, two hundred ninety-two million, nine hundred eighty-four thousand, sixty-four".