13648445100 has 216 divisors, whose sum is σ = 44176724592. Its totient is φ = 3522355200.

The previous prime is 13648445093. The next prime is 13648445117. The reversal of 13648445100 is 154484631.

13648445100 is a `hidden beast` number, since 1 + 3 + 64 + 84 + 4 + 510 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4371540 + ... + 4374660.

Almost surely, 2^13648445100 is an apocalyptic number.

13648445100 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 13648445100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22088362296).

13648445100 is an abundant number, since it is smaller than the sum of its proper divisors (30528279492).

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

13648445100 is a wasteful number, since it uses less digits than its factorization.

13648445100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 13648445100 in words is "thirteen billion, six hundred forty-eight million, four hundred forty-five thousand, one hundred".