226149440000 has 400 divisors, whose sum is σ = 631398087936. Its totient is φ = 80179200000.

The previous prime is 226149439973. The next prime is 226149440003. The reversal of 226149440000 is 44941622.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×226149440000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (226149440003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144319217 + ... + 144320783.

Almost surely, 2^226149440000 is an apocalyptic number.

226149440000 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 226149440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315699043968).

226149440000 is an abundant number, since it is smaller than the sum of its proper divisors (405248647936).

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

226149440000 is an equidigital number, since it uses as much as digits as its factorization.

226149440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 226149440000 in words is "two hundred twenty-six billion, one hundred forty-nine million, four hundred forty thousand".