13609045632 has 512 divisors, whose sum is σ = 48693657600. Its totient is φ = 3264675840.

The previous prime is 13609045613. The next prime is 13609045633. The reversal of 13609045632 is 23654090631.

It is a super-2 number, since 2×13609045632² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (13609045633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18415119 + ... + 18415857.

It is an arithmetic number, because the mean of its divisors is an integer number (95104800).

Almost surely, 2^13609045632 is an apocalyptic number.

13609045632 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 13609045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24346828800).

13609045632 is an abundant number, since it is smaller than the sum of its proper divisors (35084611968).

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

13609045632 is a wasteful number, since it uses less digits than its factorization.

13609045632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 13609045632 in words is "thirteen billion, six hundred nine million, forty-five thousand, six hundred thirty-two".