10514900352 has 256 divisors, whose sum is σ = 32949100800. Its totient is φ = 2936217600.

The previous prime is 10514900329. The next prime is 10514900353. The reversal of 10514900352 is 25300941501.

It is a super-2 number, since 2×10514900352² (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 (10514900353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2967702 + ... + 2971242.

It is an arithmetic number, because the mean of its divisors is an integer number (128707425).

Almost surely, 2^10514900352 is an apocalyptic number.

10514900352 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 10514900352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16474550400).

10514900352 is an abundant number, since it is smaller than the sum of its proper divisors (22434200448).

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

10514900352 is a wasteful number, since it uses less digits than its factorization.

10514900352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 10514900352 in words is "ten billion, five hundred fourteen million, nine hundred thousand, three hundred fifty-two".