4667632117056 has 168 divisors, whose sum is σ = 13718601507624. Its totient is φ = 1516826787840.

The previous prime is 4667632117007. The next prime is 4667632117063. The reversal of 4667632117056 is 6507112367664.

4667632117056 is a `hidden beast` number, since 46 + 67 + 6 + 321 + 170 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29570241600 + 4638061875456 = 171960^2 + 2153616^2 .

It is a super-2 number, since 2×4667632117056² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4667632116993 and 4667632117011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3382560 + ... + 4558176.

Almost surely, 2^{4667632117056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4667632117056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6859300753812).

4667632117056 is an abundant number, since it is smaller than the sum of its proper divisors (9050969390568).

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

4667632117056 is a wasteful number, since it uses less digits than its factorization.

4667632117056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175809 (or 1175796 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 4667632117056 in words is "four trillion, six hundred sixty-seven billion, six hundred thirty-two million, one hundred seventeen thousand, fifty-six".