13649376000 has 288 divisors, whose sum is σ = 48828282048. Its totient is φ = 3359539200.

The previous prime is 13649375983. The next prime is 13649376001. The reversal of 13649376000 is 67394631.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13649376000.

It is not an unprimeable number, because it can be changed into a prime (13649376001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1242532 + ... + 1253468.

It is an arithmetic number, because the mean of its divisors is an integer number (169542646).

Almost surely, 2^13649376000 is an apocalyptic number.

13649376000 is a gapful number since it is divisible by the number (10) 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 13649376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24414141024).

13649376000 is an abundant number, since it is smaller than the sum of its proper divisors (35178906048).

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

13649376000 is a wasteful number, since it uses less digits than its factorization.

13649376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10984 (or 10960 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The spelling of 13649376000 in words is "thirteen billion, six hundred forty-nine million, three hundred seventy-six thousand".