4663100988000 has 1344 divisors, whose sum is σ = 21143357569152. Its totient is φ = 983807078400.

The previous prime is 4663100987933. The next prime is 4663100988017. The reversal of 4663100988000 is 8890013664.

4663100988000 is a `hidden beast` number, since 4 + 6 + 631 + 0 + 0 + 9 + 8 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×4663100988000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 265347214 + ... + 265364786.

It is an arithmetic number, because the mean of its divisors is an integer number (15731664858).

Almost surely, 2^{4663100988000} is an apocalyptic number.

4663100988000 is a gapful number since it is divisible by the number (40) 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 4663100988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10571678784576).

4663100988000 is an abundant number, since it is smaller than the sum of its proper divisors (16480256581152).

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

4663100988000 is a wasteful number, since it uses less digits than its factorization.

4663100988000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17636 (or 17603 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 4663100988000 in words is "four trillion, six hundred sixty-three billion, one hundred million, nine hundred eighty-eight thousand".