4661106552 has 64 divisors (see below), whose sum is σ = 12978525600. Its totient is φ = 1549981440.

The previous prime is 4661106547. The next prime is 4661106557. The reversal of 4661106552 is 2556011664.

4661106552 is a `hidden beast` number, since 46 + 61 + 1 + 0 + 6 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (4661106547) and next prime (4661106557).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4661106557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65308 + ... + 116564.

Almost surely, 2^4661106552 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 4661106552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6489262800).

4661106552 is an abundant number, since it is smaller than the sum of its proper divisors (8317419048).

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

4661106552 is a wasteful number, since it uses less digits than its factorization.

4661106552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51693 (or 51683 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4661106552 is about 68272.2971050484. The cubic root of 4661106552 is about 1670.4353690572.

The spelling of 4661106552 in words is "four billion, six hundred sixty-one million, one hundred six thousand, five hundred fifty-two".