226754653440 has 576 divisors, whose sum is σ = 857633882112. Its totient is φ = 49965465600.

The previous prime is 226754653373. The next prime is 226754653457. The reversal of 226754653440 is 44356457622.

It is a happy number.

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 226754653440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 419139570 + ... + 419140110.

It is an arithmetic number, because the mean of its divisors is an integer number (1488947712).

Almost surely, 2^226754653440 is an apocalyptic number.

226754653440 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 226754653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428816941056).

226754653440 is an abundant number, since it is smaller than the sum of its proper divisors (630879228672).

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

226754653440 is a wasteful number, since it uses less digits than its factorization.

226754653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 48.

The spelling of 226754653440 in words is "two hundred twenty-six billion, seven hundred fifty-four million, six hundred fifty-three thousand, four hundred forty".