13649133978000 has 240 divisors, whose sum is σ = 50476104362736. Its totient is φ = 3425664921600.

The previous prime is 13649133977957. The next prime is 13649133978001. The reversal of 13649133978000 is 87933194631.

It is a happy number.

13649133978000 is a `hidden beast` number, since 1 + 36 + 491 + 33 + 97 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4965338716416 + 8683795261584 = 2228304^2 + 2946828^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (13649133978001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21996507 + ... + 22608506.

Almost surely, 2^{13649133978000} is an apocalyptic number.

13649133978000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13649133978000 is an abundant number, since it is smaller than the sum of its proper divisors (36826970384736).

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

13649133978000 is a wasteful number, since it uses less digits than its factorization.

13649133978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44605059 (or 44605040 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 13649133978000 in words is "thirteen trillion, six hundred forty-nine billion, one hundred thirty-three million, nine hundred seventy-eight thousand".