226023497763840 has 4224 divisors, whose sum is σ = 988835807232000. Its totient is φ = 49446063636480.

The previous prime is 226023497763839. The next prime is 226023497763841. The reversal of 226023497763840 is 48367794320622.

226023497763840 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 2 + 3 + 497 + 7 + 63 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226023497763839) and next prime (226023497763841).

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

It is not an unprimeable number, because it can be changed into a prime (226023497763841) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1183369098145 + ... + 1183369098335.

Almost surely, 2^{226023497763840} is an apocalyptic number.

226023497763840 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 226023497763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494417903616000).

226023497763840 is an abundant number, since it is smaller than the sum of its proper divisors (762812309468160).

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

226023497763840 is an equidigital number, since it uses as much as digits as its factorization.

226023497763840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 226023497763840 in words is "two hundred twenty-six trillion, twenty-three billion, four hundred ninety-seven million, seven hundred sixty-three thousand, eight hundred forty".