10514549440512 has 456 divisors, whose sum is σ = 33926091677296. Its totient is φ = 3234991177728.

The previous prime is 10514549440453. The next prime is 10514549440519. The reversal of 10514549440512 is 21504494541501.

10514549440512 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 4 + 5 + 4 + 94 + 40 + 512 = 666.

It is a super-2 number, since 2×10514549440512² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10514549440519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 828106548 + ... + 828119244.

Almost surely, 2^{10514549440512} is an apocalyptic number.

10514549440512 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 10514549440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963045838648).

10514549440512 is an abundant number, since it is smaller than the sum of its proper divisors (23411542236784).

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

10514549440512 is an frugal number, since it uses more digits than its factorization.

10514549440512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12761 (or 12715 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 10514549440512 in words is "ten trillion, five hundred fourteen billion, five hundred forty-nine million, four hundred forty thousand, five hundred twelve".