10964626848 has 144 divisors (see below), whose sum is σ = 35951138496. Its totient is φ = 3104962560.

The previous prime is 10964626823. The next prime is 10964626877. The reversal of 10964626848 is 84862646901.

10964626848 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 4 + 626 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 10964626794 and 10964626803.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203743 + ... + 251873.

It is an arithmetic number, because the mean of its divisors is an integer number (249660684).

Almost surely, 2^10964626848 is an apocalyptic number.

10964626848 is a gapful number since it is divisible by the number (18) 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 10964626848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17975569248).

10964626848 is an abundant number, since it is smaller than the sum of its proper divisors (24986511648).

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

10964626848 is a wasteful number, since it uses less digits than its factorization.

10964626848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48267 (or 48256 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 10964626848 in words is "ten billion, nine hundred sixty-four million, six hundred twenty-six thousand, eight hundred forty-eight".