18001129046400 has 192 divisors, whose sum is σ = 65879132312400. Its totient is φ = 4800301056000.

The previous prime is 18001129046389. The next prime is 18001129046479. The reversal of 18001129046400 is 464092110081.

18001129046400 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 1 + 1 + 2 + 9 + 0 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104086801 + ... + 104259600.

Almost surely, 2^{18001129046400} is an apocalyptic number.

18001129046400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18001129046400 is an abundant number, since it is smaller than the sum of its proper divisors (47878003266000).

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

18001129046400 is a wasteful number, since it uses less digits than its factorization.

18001129046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208346434 (or 208346411 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 18001129046400 in words is "eighteen trillion, one billion, one hundred twenty-nine million, forty-six thousand, four hundred".