129374063529984 has 2925 divisors, whose sum is σ = 504470463165009. Its totient is φ = 33019966586880.

The previous prime is 129374063529913. The next prime is 129374063530031. The reversal of 129374063529984 is 489925360473921.

The square root of 129374063529984 is 11374272.

It is a perfect power (a square), and thus also a powerful number.

129374063529984 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 7 + 4 + 0 + 6 + 3 + 529 + 98 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19138175078400 + 110235888451584 = 4374720^2 + 10499328^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 4173356888049 + ... + 4173356888079.

It is a 1-persistent number, because it is pandigital, but 2⋅129374063529984 = 258748127059968 is not.

Almost surely, 2^{129374063529984} is an apocalyptic number.

129374063529984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

129374063529984 is the 11374272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129374063529984

129374063529984 is an abundant number, since it is smaller than the sum of its proper divisors (375096399635025).

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

129374063529984 is an frugal number, since it uses more digits than its factorization.

129374063529984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 129374063529984 in words is "one hundred twenty-nine trillion, three hundred seventy-four billion, sixty-three million, five hundred twenty-nine thousand, nine hundred eighty-four".