1429349158352 has 80 divisors (see below), whose sum is σ = 2946244888080. Its totient is φ = 669431463936.

The previous prime is 1429349158337. The next prime is 1429349158357. The reversal of 1429349158352 is 2538519439241.

It can be written as a sum of positive squares in 8 ways, for example, as 395092702096 + 1034256456256 = 628564^2 + 1016984^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429349158357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184356908 + ... + 184364660.

It is an arithmetic number, because the mean of its divisors is an integer number (36828061101).

Almost surely, 2^{1429349158352} 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 1429349158352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473122444040).

1429349158352 is an abundant number, since it is smaller than the sum of its proper divisors (1516895729728).

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

1429349158352 is a wasteful number, since it uses less digits than its factorization.

1429349158352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10920 (or 10914 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 56.

The spelling of 1429349158352 in words is "one trillion, four hundred twenty-nine billion, three hundred forty-nine million, one hundred fifty-eight thousand, three hundred fifty-two".