13814511984 has 480 divisors, whose sum is σ = 52614757440. Its totient is φ = 3427909632.

The previous prime is 13814511979. The next prime is 13814512009. The reversal of 13814511984 is 48911541831.

13814511984 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 451 + 198 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4676652 + ... + 4679604.

It is an arithmetic number, because the mean of its divisors is an integer number (109614078).

Almost surely, 2^13814511984 is an apocalyptic number.

13814511984 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 13814511984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26307378720).

13814511984 is an abundant number, since it is smaller than the sum of its proper divisors (38800245456).

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

13814511984 is a wasteful number, since it uses less digits than its factorization.

13814511984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 2995 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The spelling of 13814511984 in words is "thirteen billion, eight hundred fourteen million, five hundred eleven thousand, nine hundred eighty-four".