13853501648 has 80 divisors (see below), whose sum is σ = 31174790400. Its totient is φ = 5841358848.

The previous prime is 13853501633. The next prime is 13853501653. The reversal of 13853501648 is 84610535831.

It is a super-2 number, since 2×13853501648² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13853501599 and 13853501608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1807328 + ... + 1814976.

It is an arithmetic number, because the mean of its divisors is an integer number (389684880).

Almost surely, 2^13853501648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13853501648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15587395200).

13853501648 is an abundant number, since it is smaller than the sum of its proper divisors (17321288752).

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

13853501648 is a wasteful number, since it uses less digits than its factorization.

13853501648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7924 (or 7918 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The spelling of 13853501648 in words is "thirteen billion, eight hundred fifty-three million, five hundred one thousand, six hundred forty-eight".