16483813632000 has 4608 divisors, whose sum is σ = 77348938867200. Its totient is φ = 3439853568000.

The previous prime is 16483813631933. The next prime is 16483813632019. The reversal of 16483813632000 is 23631838461.

16483813632000 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 3 + 8 + 1 + 3 + 632 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×16483813632000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 151227647946 + ... + 151227648054.

It is an arithmetic number, because the mean of its divisors is an integer number (16785794025).

Almost surely, 2^{16483813632000} is an apocalyptic number.

16483813632000 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 16483813632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38674469433600).

16483813632000 is an abundant number, since it is smaller than the sum of its proper divisors (60865125235200).

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

16483813632000 is a wasteful number, since it uses less digits than its factorization.

16483813632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 16483813632000 in words is "sixteen trillion, four hundred eighty-three billion, eight hundred thirteen million, six hundred thirty-two thousand".