226214463698496 has 2016 divisors, whose sum is σ = 907905257226240. Its totient is φ = 52194773385216.

The previous prime is 226214463698453. The next prime is 226214463698527. The reversal of 226214463698496 is 694896364412622.

It is a happy number.

226214463698496 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 1 + 4 + 46 + 3 + 6 + 98 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19263765201 + ... + 19263776943.

Almost surely, 2^{226214463698496} is an apocalyptic number.

226214463698496 is a gapful number since it is divisible by the number (26) 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 226214463698496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453952628613120).

226214463698496 is an abundant number, since it is smaller than the sum of its proper divisors (681690793527744).

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

226214463698496 is a wasteful number, since it uses less digits than its factorization.

226214463698496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11881 (or 11839 counting only the distinct ones).

The product of its digits is 1289945088, while the sum is 72.

The spelling of 226214463698496 in words is "two hundred twenty-six trillion, two hundred fourteen billion, four hundred sixty-three million, six hundred ninety-eight thousand, four hundred ninety-six".