226067998464 has 360 divisors, whose sum is σ = 840434652288. Its totient is φ = 58718545920.

The previous prime is 226067998451. The next prime is 226067998493. The reversal of 226067998464 is 464899760622.

226067998464 is a `hidden beast` number, since 2 + 26 + 0 + 67 + 9 + 98 + 464 = 666.

It is a super-2 number, since 2×226067998464² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1525879 + ... + 1667465.

Almost surely, 2^226067998464 is an apocalyptic number.

226067998464 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 226067998464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420217326144).

226067998464 is an abundant number, since it is smaller than the sum of its proper divisors (614366653824).

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

226067998464 is a wasteful number, since it uses less digits than its factorization.

226067998464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141633 (or 141610 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 226067998464 in words is "two hundred twenty-six billion, sixty-seven million, nine hundred ninety-eight thousand, four hundred sixty-four".