13988265984 has 513 divisors, whose sum is σ = 51670056711. Its totient is φ = 3633315840.

The previous prime is 13988265961. The next prime is 13988265989. The reversal of 13988265984 is 48956288931.

The square root of 13988265984 is 118272.

It is a perfect power (a square), and thus also a powerful number.

13988265984 is a `hidden beast` number, since 1 + 39 + 8 + 8 + 2 + 6 + 598 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (13988265989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1271660539 + ... + 1271660549.

Almost surely, 2^13988265984 is an apocalyptic number.

13988265984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13988265984 is the 118272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13988265984

13988265984 is an abundant number, since it is smaller than the sum of its proper divisors (37681790727).

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

13988265984 is an frugal number, since it uses more digits than its factorization.

13988265984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 23 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

It can be divided in two parts, 13988 and 265984, that added together give a palindrome (279972).

The spelling of 13988265984 in words is "thirteen billion, nine hundred eighty-eight million, two hundred sixty-five thousand, nine hundred eighty-four".