226078534080 has 896 divisors, whose sum is σ = 954896947200. Its totient is φ = 49260331008.

The previous prime is 226078534079. The next prime is 226078534081. The reversal of 226078534080 is 80435870622.

226078534080 is a `hidden beast` number, since 2 + 2 + 607 + 8 + 5 + 34 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226078534079) and next prime (226078534081).

It is a super-2 number, since 2×226078534080² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226078534081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 145574584 + ... + 145576136.

It is an arithmetic number, because the mean of its divisors is an integer number (1065733200).

Almost surely, 2^226078534080 is an apocalyptic number.

226078534080 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 226078534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477448473600).

226078534080 is an abundant number, since it is smaller than the sum of its proper divisors (728818413120).

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

226078534080 is a wasteful number, since it uses less digits than its factorization.

226078534080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 226078534080 in words is "two hundred twenty-six billion, seventy-eight million, five hundred thirty-four thousand, eighty".