13903005984 has 288 divisors, whose sum is σ = 44508635136. Its totient is φ = 3784112640.

The previous prime is 13903005973. The next prime is 13903005997. The reversal of 13903005984 is 48950030931.

It is a super-2 number, since 2×13903005984² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9769497 + ... + 9770919.

It is an arithmetic number, because the mean of its divisors is an integer number (154543872).

Almost surely, 2^13903005984 is an apocalyptic number.

13903005984 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 13903005984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22254317568).

13903005984 is an abundant number, since it is smaller than the sum of its proper divisors (30605629152).

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

13903005984 is a wasteful number, since it uses less digits than its factorization.

13903005984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 13903005984 in words is "thirteen billion, nine hundred three million, five thousand, nine hundred eighty-four".