129377018016 has 84 divisors (see below), whose sum is σ = 381891876282. Its totient is φ = 43125664896.

The previous prime is 129377018011. The next prime is 129377018021. The reversal of 129377018016 is 610810773921.

It is an interprime number because it is at equal distance from previous prime (129377018011) and next prime (129377018021).

It can be written as a sum of positive squares in only one way, i.e., 79639097616 + 49737920400 = 282204^2 + 223020^2 .

It is not an unprimeable number, because it can be changed into a prime (129377018011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2749671 + ... + 2796326.

Almost surely, 2^129377018016 is an apocalyptic number.

129377018016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

129377018016 is an abundant number, since it is smaller than the sum of its proper divisors (252514858266).

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

129377018016 is an frugal number, since it uses more digits than its factorization.

129377018016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5546025 (or 5546002 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 129377018016 in words is "one hundred twenty-nine billion, three hundred seventy-seven million, eighteen thousand, sixteen".