10649061696 has 224 divisors, whose sum is σ = 35875203840. Its totient is φ = 2711568384.

The previous prime is 10649061691. The next prime is 10649061697. The reversal of 10649061696 is 69616094601.

10649061696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10649061696² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10649061691) 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, 496180 + ... + 517196.

It is an arithmetic number, because the mean of its divisors is an integer number (160157160).

Almost surely, 2^10649061696 is an apocalyptic number.

10649061696 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 10649061696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17937601920).

10649061696 is an abundant number, since it is smaller than the sum of its proper divisors (25226142144).

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

10649061696 is a wasteful number, since it uses less digits than its factorization.

10649061696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21081 (or 21071 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 10649061696 in words is "ten billion, six hundred forty-nine million, sixty-one thousand, six hundred ninety-six".