129836946281472 has 264 divisors, whose sum is σ = 392298677990856. Its totient is φ = 41314759409664.

The previous prime is 129836946281437. The next prime is 129836946281501. The reversal of 129836946281472 is 274182649638921.

129836946281472 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 3 + 6 + 94 + 62 + 8 + 1 + 472 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30971629126656 + 98865317154816 = 5565216^2 + 9943104^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 129836946281472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14480478 + ... + 21664674.

Almost surely, 2^{129836946281472} is an apocalyptic number.

129836946281472 is a gapful number since it is divisible by the number (12) 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 129836946281472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196149338995428).

129836946281472 is an abundant number, since it is smaller than the sum of its proper divisors (262461731709384).

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

129836946281472 is a wasteful number, since it uses less digits than its factorization.

129836946281472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7184313 (or 7184292 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 129836946281472 in words is "one hundred twenty-nine trillion, eight hundred thirty-six billion, nine hundred forty-six million, two hundred eighty-one thousand, four hundred seventy-two".