1229151834144 has 432 divisors, whose sum is σ = 3852179420544. Its totient is φ = 371524608000.

The previous prime is 1229151834077. The next prime is 1229151834149. The reversal of 1229151834144 is 4414381519221.

It is a happy number.

1229151834144 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 151 + 83 + 414 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1229151834144.

It is not an unprimeable number, because it can be changed into a prime (1229151834149) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1385740069 + ... + 1385740955.

It is an arithmetic number, because the mean of its divisors is an integer number (8917081992).

Almost surely, 2^{1229151834144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1229151834144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926089710272).

1229151834144 is an abundant number, since it is smaller than the sum of its proper divisors (2623027586400).

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

1229151834144 is a wasteful number, since it uses less digits than its factorization.

1229151834144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1377 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 1229151834144 in words is "one trillion, two hundred twenty-nine billion, one hundred fifty-one million, eight hundred thirty-four thousand, one hundred forty-four".