16813633536000 has 2048 divisors, whose sum is σ = 73098556876800. Its totient is φ = 3732878131200.

The previous prime is 16813633535981. The next prime is 16813633536001. The reversal of 16813633536000 is 63533631861.

16813633536000 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 3 + 6 + 3 + 35 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16813633536001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28643327707 + ... + 28643328293.

It is an arithmetic number, because the mean of its divisors is an integer number (35692654725).

Almost surely, 2^{16813633536000} is an apocalyptic number.

16813633536000 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 16813633536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36549278438400).

16813633536000 is an abundant number, since it is smaller than the sum of its proper divisors (56284923340800).

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

16813633536000 is an frugal number, since it uses more digits than its factorization.

16813633536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 16813633536000 in words is "sixteen trillion, eight hundred thirteen billion, six hundred thirty-three million, five hundred thirty-six thousand".