129294226944 has 280 divisors, whose sum is σ = 404193830832. Its totient is φ = 41221509120.

The previous prime is 129294226939. The next prime is 129294226949. The reversal of 129294226944 is 449622492921.

129294226944 is a `hidden beast` number, since 1 + 292 + 94 + 2 + 269 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (129294226939) and next prime (129294226949).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129294226949) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8577174 + ... + 8592234.

Almost surely, 2^129294226944 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 129294226944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202096915416).

129294226944 is an abundant number, since it is smaller than the sum of its proper divisors (274899603888).

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

129294226944 is an frugal number, since it uses more digits than its factorization.

129294226944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15120 (or 15089 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 129294226944 in words is "one hundred twenty-nine billion, two hundred ninety-four million, two hundred twenty-six thousand, nine hundred forty-four".