226974371447040 has 576 divisors, whose sum is σ = 864791530831872. Its totient is φ = 49606115328000.

The previous prime is 226974371446961. The next prime is 226974371447099. The reversal of 226974371447040 is 40744173479622.

It is a Smith number, since the sum of its digits (60) 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 (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1731624705 + ... + 1731755775.

It is an arithmetic number, because the mean of its divisors is an integer number (1501374185472).

Almost surely, 2^{226974371447040} is an apocalyptic number.

226974371447040 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 226974371447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432395765415936).

226974371447040 is an abundant number, since it is smaller than the sum of its proper divisors (637817159384832).

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

226974371447040 is a wasteful number, since it uses less digits than its factorization.

226974371447040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133926 (or 133912 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 60.

The spelling of 226974371447040 in words is "two hundred twenty-six trillion, nine hundred seventy-four billion, three hundred seventy-one million, four hundred forty-seven thousand, forty".