13983273024 has 448 divisors, whose sum is σ = 46442741760. Its totient is φ = 3622993920.

The previous prime is 13983273023. The next prime is 13983273043. The reversal of 13983273024 is 42037238931.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×13983273024² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13983273023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110104449 + ... + 110104575.

Almost surely, 2^13983273024 is an apocalyptic number.

13983273024 is a gapful number since it is divisible by the number (14) 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 13983273024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23221370880).

13983273024 is an abundant number, since it is smaller than the sum of its proper divisors (32459468736).

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

13983273024 is a wasteful number, since it uses less digits than its factorization.

13983273024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 13983273024 in words is "thirteen billion, nine hundred eighty-three million, two hundred seventy-three thousand, twenty-four".