10514612064 has 192 divisors, whose sum is σ = 32006016000. Its totient is φ = 2987089920.

The previous prime is 10514612063. The next prime is 10514612077. The reversal of 10514612064 is 46021641501.

10514612064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10514612064² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10514612063) 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 31 ways as a sum of consecutive naturals, for example, 5258937 + ... + 5260935.

It is an arithmetic number, because the mean of its divisors is an integer number (166698000).

Almost surely, 2^10514612064 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 10514612064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003008000).

10514612064 is an abundant number, since it is smaller than the sum of its proper divisors (21491403936).

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

10514612064 is a wasteful number, since it uses less digits than its factorization.

10514612064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 10514612064 in words is "ten billion, five hundred fourteen million, six hundred twelve thousand, sixty-four".