13832991648 has 576 divisors, whose sum is σ = 51193296000. Its totient is φ = 3609059328.

The previous prime is 13832991581. The next prime is 13832991649. The reversal of 13832991648 is 84619923831.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13832991594 and 13832991603.

It is not an unprimeable number, because it can be changed into a prime (13832991649) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23326840 + ... + 23327432.

It is an arithmetic number, because the mean of its divisors is an integer number (88877250).

Almost surely, 2^13832991648 is an apocalyptic number.

13832991648 is a gapful number since it is divisible by the number (18) 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 13832991648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25596648000).

13832991648 is an abundant number, since it is smaller than the sum of its proper divisors (37360304352).

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

13832991648 is a wasteful number, since it uses less digits than its factorization.

13832991648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 653 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 13832991648 in words is "thirteen billion, eight hundred thirty-two million, nine hundred ninety-one thousand, six hundred forty-eight".