10498871296 has 39 divisors (see below), whose sum is σ = 21008301373. Its totient is φ = 5246156800.

The previous prime is 10498871293. The next prime is 10498871309. The reversal of 10498871296 is 69217889401.

It is a happy number.

The square root of 10498871296 is 102464.

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

It can be written as a sum of positive squares in only one way, i.e., 10472656896 + 26214400 = 102336^2 + 5120^2 .

It is a super-2 number, since 2×10498871296² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10498871293) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6556896 + ... + 6558496.

Almost surely, 2^10498871296 is an apocalyptic number.

10498871296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10498871296 is the 102464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10498871296

10498871296 is an abundant number, since it is smaller than the sum of its proper divisors (10509430077).

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

10498871296 is an frugal number, since it uses more digits than its factorization.

10498871296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 55.

The spelling of 10498871296 in words is "ten billion, four hundred ninety-eight million, eight hundred seventy-one thousand, two hundred ninety-six".