10249491696 has 160 divisors (see below), whose sum is σ = 27749914368. Its totient is φ = 3257210880.

The previous prime is 10249491691. The next prime is 10249491697. The reversal of 10249491696 is 69619494201.

10249491696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10249491696³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10249491691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18945186 + ... + 18945726.

Almost surely, 2^10249491696 is an apocalyptic number.

10249491696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10249491696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13874957184).

10249491696 is an abundant number, since it is smaller than the sum of its proper divisors (17500422672).

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

10249491696 is a wasteful number, since it uses less digits than its factorization.

10249491696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 10249491696 in words is "ten billion, two hundred forty-nine million, four hundred ninety-one thousand, six hundred ninety-six".