10032815465712 has 240 divisors, whose sum is σ = 31917464269600. Its totient is φ = 2924541656064.

The previous prime is 10032815465683. The next prime is 10032815465719. The reversal of 10032815465712 is 21756451823001.

10032815465712 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 28 + 1 + 54 + 6 + 571 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032815465719) 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, 12449364 + ... + 13230732.

Almost surely, 2^{10032815465712} is an apocalyptic number.

10032815465712 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 10032815465712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958732134800).

10032815465712 is an abundant number, since it is smaller than the sum of its proper divisors (21884648803888).

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

10032815465712 is a wasteful number, since it uses less digits than its factorization.

10032815465712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781453 (or 781406 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10032815465712 in words is "ten trillion, thirty-two billion, eight hundred fifteen million, four hundred sixty-five thousand, seven hundred twelve".