10315354464 has 108 divisors (see below), whose sum is σ = 29506083516. Its totient is φ = 3418424064.

The previous prime is 10315354463. The next prime is 10315354471. The reversal of 10315354464 is 46445351301.

10315354464 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 53 + 544 + 64 = 666.

10315354464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10315354463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15102667 + ... + 15103349.

It is an arithmetic number, because the mean of its divisors is an integer number (273204477).

Almost surely, 2^10315354464 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 10315354464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14753041758).

10315354464 is an abundant number, since it is smaller than the sum of its proper divisors (19190729052).

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

10315354464 is an equidigital number, since it uses as much as digits as its factorization.

10315354464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 10315354464 in words is "ten billion, three hundred fifteen million, three hundred fifty-four thousand, four hundred sixty-four".