13045093632 has 288 divisors, whose sum is σ = 41568092160. Its totient is φ = 4023613440.

The previous prime is 13045093631. The next prime is 13045093657. The reversal of 13045093632 is 23639054031.

It is a happy number.

13045093632 is a `hidden beast` number, since 13 + 0 + 4 + 5 + 0 + 9 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13045093631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4926933 + ... + 4929579.

Almost surely, 2^13045093632 is an apocalyptic number.

13045093632 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 13045093632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20784046080).

13045093632 is an abundant number, since it is smaller than the sum of its proper divisors (28522998528).

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

13045093632 is a wasteful number, since it uses less digits than its factorization.

13045093632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 13045093632 in words is "thirteen billion, forty-five million, ninety-three thousand, six hundred thirty-two".