10029812992144 has 135 divisors (see below), whose sum is σ = 21538622095123. Its totient is φ = 4521192068800.

The previous prime is 10029812992141. The next prime is 10029812992169. The reversal of 10029812992144 is 44129921892001.

The square root of 10029812992144 is 3166988.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10029812992091 and 10029812992100.

It is not an unprimeable number, because it can be changed into a prime (10029812992141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23271027609 + ... + 23271028039.

Almost surely, 2^{10029812992144} is an apocalyptic number.

10029812992144 is the 3166988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10029812992144

10029812992144 is an abundant number, since it is smaller than the sum of its proper divisors (11508809102979).

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

10029812992144 is an frugal number, since it uses more digits than its factorization.

10029812992144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The spelling of 10029812992144 in words is "ten trillion, twenty-nine billion, eight hundred twelve million, nine hundred ninety-two thousand, one hundred forty-four".