4663112011776 has 585 divisors, whose sum is σ = 14651939810739. Its totient is φ = 1477667930112.

The previous prime is 4663112011717. The next prime is 4663112011783. The reversal of 4663112011776 is 6771102113664.

It is a happy number.

The square root of 4663112011776 is 2159424.

It is a perfect power (a square), and thus also a powerful number.

4663112011776 is a `hidden beast` number, since 4 + 6 + 631 + 1 + 2 + 0 + 1 + 1 + 7 + 7 + 6 = 666.

It is a super-2 number, since 2×4663112011776² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 28608049071 + ... + 28608049233.

Almost surely, 2^{4663112011776} is an apocalyptic number.

4663112011776 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4663112011776 is the 2159424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4663112011776

4663112011776 is an abundant number, since it is smaller than the sum of its proper divisors (9988827798963).

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

4663112011776 is an frugal number, since it uses more digits than its factorization.

4663112011776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 4663112011776 in words is "four trillion, six hundred sixty-three billion, one hundred twelve million, eleven thousand, seven hundred seventy-six".