13785583448 has 128 divisors (see below), whose sum is σ = 32353950720. Its totient is φ = 5361707520.

The previous prime is 13785583433. The next prime is 13785583499. The reversal of 13785583448 is 84438558731.

It is a super-2 number, since 2×13785583448² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 13785583393 and 13785583402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11771903 + ... + 11773073.

It is an arithmetic number, because the mean of its divisors is an integer number (252765240).

Almost surely, 2^13785583448 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 13785583448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16176975360).

13785583448 is an abundant number, since it is smaller than the sum of its proper divisors (18568367272).

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

13785583448 is a wasteful number, since it uses less digits than its factorization.

13785583448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1453 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 56.

The spelling of 13785583448 in words is "thirteen billion, seven hundred eighty-five million, five hundred eighty-three thousand, four hundred forty-eight".