13732208457408 has 1008 divisors, whose sum is σ = 48540492988416. Its totient is φ = 3695058984960.

The previous prime is 13732208457391. The next prime is 13732208457419. The reversal of 13732208457408 is 80475480223731.

It is a happy number.

13732208457408 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 220 + 8 + 4 + 5 + 7 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14409452260 + ... + 14409453212.

Almost surely, 2^{13732208457408} is an apocalyptic number.

13732208457408 is a gapful number since it is divisible by the number (18) 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 13732208457408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24270246494208).

13732208457408 is an abundant number, since it is smaller than the sum of its proper divisors (34808284531008).

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

13732208457408 is a wasteful number, since it uses less digits than its factorization.

13732208457408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 13732208457408 in words is "thirteen trillion, seven hundred thirty-two billion, two hundred eight million, four hundred fifty-seven thousand, four hundred eight".