10264546116 has 144 divisors (see below), whose sum is σ = 28630143360. Its totient is φ = 3075010560.

The previous prime is 10264546109. The next prime is 10264546139. The reversal of 10264546116 is 61164546201.

10264546116 is a `hidden beast` number, since 1 + 0 + 2 + 645 + 4 + 6 + 1 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17789220 + ... + 17789796.

It is an arithmetic number, because the mean of its divisors is an integer number (198820440).

Almost surely, 2^10264546116 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 10264546116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14315071680).

10264546116 is an abundant number, since it is smaller than the sum of its proper divisors (18365597244).

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

10264546116 is a wasteful number, since it uses less digits than its factorization.

10264546116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10264546116 in words is "ten billion, two hundred sixty-four million, five hundred forty-six thousand, one hundred sixteen".