226845826965504 has 672 divisors, whose sum is σ = 698842642667520. Its totient is φ = 70699310383104.

The previous prime is 226845826965491. The next prime is 226845826965533. The reversal of 226845826965504 is 405569628548622.

226845826965504 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 4 + 5 + 8 + 2 + 69 + 6 + 550 + 4 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 45161420337 + ... + 45161425359.

Almost surely, 2^{226845826965504} is an apocalyptic number.

226845826965504 is a gapful number since it is divisible by the number (24) 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 226845826965504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349421321333760).

226845826965504 is an abundant number, since it is smaller than the sum of its proper divisors (471996815702016).

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

226845826965504 is a wasteful number, since it uses less digits than its factorization.

226845826965504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5490 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 1990656000, while the sum is 72.

The spelling of 226845826965504 in words is "two hundred twenty-six trillion, eight hundred forty-five billion, eight hundred twenty-six million, nine hundred sixty-five thousand, five hundred four".