2229114510144 has 280 divisors, whose sum is σ = 6852330687488. Its totient is φ = 715930721280.

The previous prime is 2229114510089. The next prime is 2229114510157. The reversal of 2229114510144 is 4410154119222.

2229114510144 is a `hidden beast` number, since 2 + 2 + 2 + 91 + 14 + 510 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2229114510099 and 2229114510108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19699809 + ... + 19812639.

Almost surely, 2^{2229114510144} is an apocalyptic number.

2229114510144 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 2229114510144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426165343744).

2229114510144 is an abundant number, since it is smaller than the sum of its proper divisors (4623216177344).

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

2229114510144 is a wasteful number, since it uses less digits than its factorization.

2229114510144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112995 (or 112976 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 2229114510144 its reverse (4410154119222), we get a palindrome (6639268629366).

The spelling of 2229114510144 in words is "two trillion, two hundred twenty-nine billion, one hundred fourteen million, five hundred ten thousand, one hundred forty-four".