10545661222632 has 192 divisors, whose sum is σ = 30862211889600. Its totient is φ = 3241052559360.

The previous prime is 10545661222631. The next prime is 10545661222637. The reversal of 10545661222632 is 23622216654501.

10545661222632 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 5 + 6 + 6 + 1 + 2 + 2 + 2 + 632 = 666.

10545661222632 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 2×10545661222632² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10545661222631) 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, 14488219 + ... + 15198677.

It is an arithmetic number, because the mean of its divisors is an integer number (160740686925).

Almost surely, 2^{10545661222632} is an apocalyptic number.

10545661222632 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 10545661222632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15431105944800).

10545661222632 is an abundant number, since it is smaller than the sum of its proper divisors (20316550666968).

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

10545661222632 is a wasteful number, since it uses less digits than its factorization.

10545661222632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710736 (or 710729 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 10545661222632 in words is "ten trillion, five hundred forty-five billion, six hundred sixty-one million, two hundred twenty-two thousand, six hundred thirty-two".