13664451440 has 40 divisors (see below), whose sum is σ = 31834645488. Its totient is φ = 5454632960.

The previous prime is 13664451439. The next prime is 13664451457. The reversal of 13664451440 is 4415446631.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×13664451440² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13664451394 and 13664451403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134657 + ... + 213216.

Almost surely, 2^13664451440 is an apocalyptic number.

13664451440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13664451440 is an abundant number, since it is smaller than the sum of its proper divisors (18170194048).

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

13664451440 is a wasteful number, since it uses less digits than its factorization.

13664451440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348377 (or 348371 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 13664451440 in words is "thirteen billion, six hundred sixty-four million, four hundred fifty-one thousand, four hundred forty".