129677971456 has 312 divisors, whose sum is σ = 314309507904. Its totient is φ = 52942602240.

The previous prime is 129677971417. The next prime is 129677971457. The reversal of 129677971456 is 654179776921.

It is a Harshad number since it is a multiple of its sum of digits (64).

Its product of digits (40007520) is a multiple of the sum of its prime divisors (486).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129677971457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299487016 + ... + 299487448.

Almost surely, 2^129677971456 is an apocalyptic number.

129677971456 is a gapful number since it is divisible by the number (16) 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 129677971456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157154753952).

129677971456 is an abundant number, since it is smaller than the sum of its proper divisors (184631536448).

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

129677971456 is a wasteful number, since it uses less digits than its factorization.

129677971456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 486 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 64.

The spelling of 129677971456 in words is "one hundred twenty-nine billion, six hundred seventy-seven million, nine hundred seventy-one thousand, four hundred fifty-six".