13445874288 has 420 divisors, whose sum is σ = 49102159344. Its totient is φ = 3489868800.

The previous prime is 13445874263. The next prime is 13445874301. The reversal of 13445874288 is 88247854431.

13445874288 is a `hidden beast` number, since 1 + 3 + 445 + 87 + 42 + 88 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9878728 + ... + 9880088.

Almost surely, 2^13445874288 is an apocalyptic number.

13445874288 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 13445874288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24551079672).

13445874288 is an abundant number, since it is smaller than the sum of its proper divisors (35656285056).

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

13445874288 is a wasteful number, since it uses less digits than its factorization.

13445874288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1384 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 13445874288 in words is "thirteen billion, four hundred forty-five million, eight hundred seventy-four thousand, two hundred eighty-eight".