129487126928544 has 288 divisors, whose sum is σ = 474429420904320. Its totient is φ = 33633019791360.

The previous prime is 129487126928507. The next prime is 129487126928611. The reversal of 129487126928544 is 445829621784921.

129487126928544 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 8 + 7 + 12 + 69 + 2 + 8 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×129487126928544² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87738889 + ... + 89202504.

It is an arithmetic number, because the mean of its divisors is an integer number (1647324378140).

Almost surely, 2^{129487126928544} is an apocalyptic number.

129487126928544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

129487126928544 is an abundant number, since it is smaller than the sum of its proper divisors (344942293975776).

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

129487126928544 is a wasteful number, since it uses less digits than its factorization.

129487126928544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176941441 (or 176941416 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 129487126928544 in words is "one hundred twenty-nine trillion, four hundred eighty-seven billion, one hundred twenty-six million, nine hundred twenty-eight thousand, five hundred forty-four".