10845360864 has 240 divisors, whose sum is σ = 34482305088. Its totient is φ = 3324146688.

The previous prime is 10845360853. The next prime is 10845360923. The reversal of 10845360864 is 46806354801.

10845360864 is a `hidden beast` number, since 108 + 4 + 536 + 0 + 8 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12365994 + ... + 12366870.

Almost surely, 2^10845360864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10845360864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17241152544).

10845360864 is an abundant number, since it is smaller than the sum of its proper divisors (23636944224).

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

10845360864 is a wasteful number, since it uses less digits than its factorization.

10845360864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1262 counting only the distinct ones).

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

The spelling of 10845360864 in words is "ten billion, eight hundred forty-five million, three hundred sixty thousand, eight hundred sixty-four".