10656461844 has 192 divisors, whose sum is σ = 33097236480. Its totient is φ = 2899100160.

The previous prime is 10656461843. The next prime is 10656461891. The reversal of 10656461844 is 44816465601.

10656461844 is a `hidden beast` number, since 1 + 0 + 6 + 564 + 6 + 1 + 84 + 4 = 666.

It is a super-2 number, since 2×10656461844² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10656461844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10656461843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4189237 + ... + 4191779.

It is an arithmetic number, because the mean of its divisors is an integer number (172381440).

Almost surely, 2^10656461844 is an apocalyptic number.

10656461844 is a gapful number since it is divisible by the number (14) 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 10656461844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16548618240).

10656461844 is an abundant number, since it is smaller than the sum of its proper divisors (22440774636).

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

10656461844 is a wasteful number, since it uses less digits than its factorization.

10656461844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 10656461844 in words is "ten billion, six hundred fifty-six million, four hundred sixty-one thousand, eight hundred forty-four".