10456369152 has 192 divisors, whose sum is σ = 28722133440. Its totient is φ = 3381460992.

The previous prime is 10456369151. The next prime is 10456369159. The reversal of 10456369152 is 25196365401.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (10456369151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53077918 + ... + 53078114.

It is an arithmetic number, because the mean of its divisors is an integer number (149594445).

Almost surely, 2^10456369152 is an apocalyptic number.

10456369152 is a gapful number since it is divisible by the number (12) 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 10456369152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14361066720).

10456369152 is an abundant number, since it is smaller than the sum of its proper divisors (18265764288).

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

10456369152 is a wasteful number, since it uses less digits than its factorization.

10456369152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 10456369152 in words is "ten billion, four hundred fifty-six million, three hundred sixty-nine thousand, one hundred fifty-two".