10264146456 has 64 divisors (see below), whose sum is σ = 26523302400. Its totient is φ = 3308227200.

The previous prime is 10264146439. The next prime is 10264146463. The reversal of 10264146456 is 65464146201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26961 + ... + 145791.

It is an arithmetic number, because the mean of its divisors is an integer number (414426600).

Almost surely, 2^10264146456 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 10264146456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13261651200).

10264146456 is an abundant number, since it is smaller than the sum of its proper divisors (16259155944).

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

10264146456 is a wasteful number, since it uses less digits than its factorization.

10264146456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118960 (or 118956 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 10264146456 in words is "ten billion, two hundred sixty-four million, one hundred forty-six thousand, four hundred fifty-six".