129005445935808 has 280 divisors, whose sum is σ = 413170434416432. Its totient is φ = 39564680656896.

The previous prime is 129005445935791. The next prime is 129005445935831. The reversal of 129005445935808 is 808539544500921.

129005445935808 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 0 + 5 + 4 + 45 + 9 + 3 + 580 + 8 = 666.

It is a super-2 number, since 2×129005445935808² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17571666 + ... + 23807022.

Almost surely, 2^{129005445935808} is an apocalyptic number.

129005445935808 is a gapful number since it is divisible by the number (18) 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 129005445935808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206585217208216).

129005445935808 is an abundant number, since it is smaller than the sum of its proper divisors (284164988480624).

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

129005445935808 is a wasteful number, since it uses less digits than its factorization.

129005445935808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6235701 (or 6235682 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 129005445935808 in words is "one hundred twenty-nine trillion, five billion, four hundred forty-five million, nine hundred thirty-five thousand, eight hundred eight".