10453634016 has 288 divisors, whose sum is σ = 35079932160. Its totient is φ = 2662170624.

The previous prime is 10453634011. The next prime is 10453634029. The reversal of 10453634016 is 61043635401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10453634011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3688536 + ... + 3691368.

It is an arithmetic number, because the mean of its divisors is an integer number (121805320).

Almost surely, 2^10453634016 is an apocalyptic number.

10453634016 is a gapful number since it is divisible by the number (16) 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 10453634016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17539966080).

10453634016 is an abundant number, since it is smaller than the sum of its proper divisors (24626298144).

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

10453634016 is a wasteful number, since it uses less digits than its factorization.

10453634016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 10453634016 in words is "ten billion, four hundred fifty-three million, six hundred thirty-four thousand, sixteen".