226074676800 has 1344 divisors, whose sum is σ = 972032071680. Its totient is φ = 44749946880.

The previous prime is 226074676757. The next prime is 226074676811. The reversal of 226074676800 is 8676470622.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×226074676800² (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 self number, because there is not a number n which added to its sum of digits gives 226074676800.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 401553319 + ... + 401553881.

Almost surely, 2^226074676800 is an apocalyptic number.

226074676800 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 226074676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486016035840).

226074676800 is an abundant number, since it is smaller than the sum of its proper divisors (745957394880).

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

226074676800 is a wasteful number, since it uses less digits than its factorization.

226074676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 653 counting only the distinct ones).

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

The spelling of 226074676800 in words is "two hundred twenty-six billion, seventy-four million, six hundred seventy-six thousand, eight hundred".