226406984763960 has 1536 divisors, whose sum is σ = 1044278307072000. Its totient is φ = 40970089267200.

The previous prime is 226406984763959. The next prime is 226406984763961. The reversal of 226406984763960 is 69367489604622.

226406984763960 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 0 + 6 + 98 + 476 + 3 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (226406984763959) and next prime (226406984763961).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226406984763961) 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, 1650019836 + ... + 1650157044.

It is an arithmetic number, because the mean of its divisors is an integer number (679868689500).

Almost surely, 2^{226406984763960} is an apocalyptic number.

226406984763960 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 226406984763960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522139153536000).

226406984763960 is an abundant number, since it is smaller than the sum of its proper divisors (817871322308040).

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

226406984763960 is a wasteful number, since it uses less digits than its factorization.

226406984763960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137517 (or 137510 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 72.

The spelling of 226406984763960 in words is "two hundred twenty-six trillion, four hundred six billion, nine hundred eighty-four million, seven hundred sixty-three thousand, nine hundred sixty".