13771433984 has 288 divisors, whose sum is σ = 36704041920. Its totient is φ = 5039063040.

The previous prime is 13771433983. The next prime is 13771433987. The reversal of 13771433984 is 48933417731.

It is a super-2 number, since 2×13771433984² (a number of 21 digits) contains 22 as substring.

Its product of digits (1524096) is a multiple of the sum of its prime divisors (504).

It is not an unprimeable number, because it can be changed into a prime (13771433983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29488919 + ... + 29489385.

It is an arithmetic number, because the mean of its divisors is an integer number (127444590).

Almost surely, 2^13771433984 is an apocalyptic number.

13771433984 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 13771433984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18352020960).

13771433984 is an abundant number, since it is smaller than the sum of its proper divisors (22932607936).

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

13771433984 is a wasteful number, since it uses less digits than its factorization.

13771433984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 504 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 50.

The spelling of 13771433984 in words is "thirteen billion, seven hundred seventy-one million, four hundred thirty-three thousand, nine hundred eighty-four".