6129486608400 has 135 divisors (see below), whose sum is σ = 21271536677469. Its totient is φ = 1634490149760.

The previous prime is 6129486608369. The next prime is 6129486608449. The reversal of 6129486608400 is 48066849216.

The square root of 6129486608400 is 2475780.

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

6129486608400 is a `hidden beast` number, since 6 + 1 + 29 + 4 + 8 + 6 + 608 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2206615179024 + 3922871429376 = 1485468^2 + 1980624^2 .

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 26 ways as a sum of consecutive naturals, for example, 148526169 + ... + 148567431.

Almost surely, 2^{6129486608400} is an apocalyptic number.

6129486608400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6129486608400 is the 2475780-th square number.

It is an amenable number.

6129486608400 is an abundant number, since it is smaller than the sum of its proper divisors (15142050069069).

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

6129486608400 is an frugal number, since it uses more digits than its factorization.

6129486608400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82550 (or 41273 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 6129486608400 in words is "six trillion, one hundred twenty-nine billion, four hundred eighty-six million, six hundred eight thousand, four hundred".