29126141352 has 864 divisors, whose sum is σ = 110669832000. Its totient is φ = 7167061440.

The previous prime is 29126141339. The next prime is 29126141381. The reversal of 29126141352 is 25314162192.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

29126141352 is a `hidden beast` number, since 2 + 9 + 1 + 2 + 614 + 1 + 35 + 2 = 666.

It is a super-2 number, since 2×29126141352² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1532954799 + ... + 1532954817.

Almost surely, 2^29126141352 is an apocalyptic number.

29126141352 is a gapful number since it is divisible by the number (22) 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 29126141352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55334916000).

29126141352 is an abundant number, since it is smaller than the sum of its proper divisors (81543690648).

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

29126141352 is a wasteful number, since it uses less digits than its factorization.

29126141352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 42 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 29126141352 in words is "twenty-nine billion, one hundred twenty-six million, one hundred forty-one thousand, three hundred fifty-two".