10129655674944 has 315 divisors, whose sum is σ = 31754481943665. Its totient is φ = 3085957555200.

The previous prime is 10129655674933. The next prime is 10129655674961. The reversal of 10129655674944 is 44947655692101.

The square root of 10129655674944 is 3182712.

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

10129655674944 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 9 + 6 + 556 + 74 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 152769600 + 10129502905344 = 12360^2 + 3182688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 100293620494 + ... + 100293620594.

Almost surely, 2^{10129655674944} is an apocalyptic number.

10129655674944 is the 3182712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10129655674944

10129655674944 is an abundant number, since it is smaller than the sum of its proper divisors (21624826268721).

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

10129655674944 is an frugal number, since it uses more digits than its factorization.

10129655674944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 10129655674944 in words is "ten trillion, one hundred twenty-nine billion, six hundred fifty-five million, six hundred seventy-four thousand, nine hundred forty-four".