226147164672 has 640 divisors, whose sum is σ = 730001276928. Its totient is φ = 61823139840.

The previous prime is 226147164671. The next prime is 226147164703. The reversal of 226147164672 is 276461741622.

It is a super-2 number, since 2×226147164672² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226147164671) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1780686273 + ... + 1780686399.

Almost surely, 2^226147164672 is an apocalyptic number.

226147164672 is a gapful number since it is divisible by the number (22) 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 226147164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365000638464).

226147164672 is an abundant number, since it is smaller than the sum of its proper divisors (503854112256).

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

226147164672 is a wasteful number, since it uses less digits than its factorization.

226147164672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 223 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The spelling of 226147164672 in words is "two hundred twenty-six billion, one hundred forty-seven million, one hundred sixty-four thousand, six hundred seventy-two".