18083101046400 has 768 divisors, whose sum is σ = 71924167392000. Its totient is φ = 4410358087680.

The previous prime is 18083101046371. The next prime is 18083101046401. The reversal of 18083101046400 is 464010138081.

It is a happy number.

18083101046400 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 3 + 1 + 0 + 1 + 0 + 4 + 640 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18083101046401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 122354949 + ... + 122502651.

It is an arithmetic number, because the mean of its divisors is an integer number (93651259625).

Almost surely, 2^{18083101046400} is an apocalyptic number.

18083101046400 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 18083101046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35962083696000).

18083101046400 is an abundant number, since it is smaller than the sum of its proper divisors (53841066345600).

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

18083101046400 is a wasteful number, since it uses less digits than its factorization.

18083101046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147858 (or 147835 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 18083101046400 in words is "eighteen trillion, eighty-three billion, one hundred one million, forty-six thousand, four hundred".