13664031480 has 192 divisors, whose sum is σ = 50064285600. Its totient is φ = 3312460800.

The previous prime is 13664031467. The next prime is 13664031517. The reversal of 13664031480 is 8413046631.

It is a happy number.

13664031480 is a `hidden beast` number, since 1 + 3 + 6 + 640 + 3 + 1 + 4 + 8 + 0 = 666.

13664031480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13664031480³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78400 + ... + 182960.

Almost surely, 2^13664031480 is an apocalyptic number.

13664031480 is a gapful number since it is divisible by the number (10) 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 13664031480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25032142800).

13664031480 is an abundant number, since it is smaller than the sum of its proper divisors (36400254120).

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

13664031480 is a wasteful number, since it uses less digits than its factorization.

13664031480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104603 (or 104582 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13664031480 in words is "thirteen billion, six hundred sixty-four million, thirty-one thousand, four hundred eighty".