13829737152 has 224 divisors, whose sum is σ = 47194744320. Its totient is φ = 3468165120.

The previous prime is 13829737093. The next prime is 13829737153. The reversal of 13829737152 is 25173792831.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×13829737152² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13829737153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412608 + ... + 444864.

Almost surely, 2^13829737152 is an apocalyptic number.

13829737152 is a gapful number since it is divisible by the number (12) 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 13829737152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23597372160).

13829737152 is an abundant number, since it is smaller than the sum of its proper divisors (33365007168).

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

13829737152 is a wasteful number, since it uses less digits than its factorization.

13829737152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32319 (or 32309 counting only the distinct ones).

The product of its digits is 635040, while the sum is 48.

The spelling of 13829737152 in words is "thirteen billion, eight hundred twenty-nine million, seven hundred thirty-seven thousand, one hundred fifty-two".