10645051564 has 48 divisors (see below), whose sum is σ = 21896856576. Its totient is φ = 4433040000.

The previous prime is 10645051499. The next prime is 10645051579. The reversal of 10645051564 is 46515054601.

It is a super-2 number, since 2×10645051564² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269677 + ... + 306619.

It is an arithmetic number, because the mean of its divisors is an integer number (456184512).

Almost surely, 2^10645051564 is an apocalyptic number.

10645051564 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 10645051564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10948428288).

10645051564 is an abundant number, since it is smaller than the sum of its proper divisors (11251805012).

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

10645051564 is a wasteful number, since it uses less digits than its factorization.

10645051564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37246 (or 37244 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 10645051564 in words is "ten billion, six hundred forty-five million, fifty-one thousand, five hundred sixty-four".