10458988849296 has 135 divisors (see below), whose sum is σ = 31696958313657. Its totient is φ = 3217995181440.

The previous prime is 10458988849291. The next prime is 10458988849307. The reversal of 10458988849296 is 69294888985401.

The square root of 10458988849296 is 3234036.

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

10458988849296 is a `hidden beast` number, since 1 + 0 + 4 + 589 + 8 + 8 + 8 + 4 + 9 + 29 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1547187699600 + 8911801149696 = 1243860^2 + 2985264^2 .

It is not an unprimeable number, because it can be changed into a prime (10458988849291) 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, 504499251 + ... + 504519981.

Almost surely, 2^{10458988849296} is an apocalyptic number.

10458988849296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10458988849296 is the 3234036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10458988849296

10458988849296 is an abundant number, since it is smaller than the sum of its proper divisors (21237969464361).

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

10458988849296 is an frugal number, since it uses more digits than its factorization.

10458988849296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41502 (or 20749 counting only the distinct ones).

The product of its (nonzero) digits is 2866544640, while the sum is 81.

Multiplying 10458988849296 by its sum of digits (81), we get a square (847178096792976 = 29106324²).

The spelling of 10458988849296 in words is "ten trillion, four hundred fifty-eight billion, nine hundred eighty-eight million, eight hundred forty-nine thousand, two hundred ninety-six".