429199452143616 has 2304 divisors, whose sum is σ = 1591021615841280. Its totient is φ = 99543416832000.

The previous prime is 429199452143573. The next prime is 429199452143621. The reversal of 429199452143616 is 616341254991924.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 731174534875 + ... + 731174535461.

It is an arithmetic number, because the mean of its divisors is an integer number (690547576320).

Almost surely, 2^{429199452143616} 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 429199452143616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795510807920640).

429199452143616 is an abundant number, since it is smaller than the sum of its proper divisors (1161822163697664).

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

429199452143616 is a wasteful number, since it uses less digits than its factorization.

429199452143616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 701 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 66.

The spelling of 429199452143616 in words is "four hundred twenty-nine trillion, one hundred ninety-nine billion, four hundred fifty-two million, one hundred forty-three thousand, six hundred sixteen".