4656132096 has 624 divisors, whose sum is σ = 17032037760. Its totient is φ = 1114767360.

The previous prime is 4656132037. The next prime is 4656132101. The reversal of 4656132096 is 6902316564.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125841390 + ... + 125841426.

Almost surely, 2^4656132096 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 4656132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8516018880).

4656132096 is an abundant number, since it is smaller than the sum of its proper divisors (12375905664).

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

4656132096 is a wasteful number, since it uses less digits than its factorization.

4656132096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 4656132096 is about 68235.8563806449. The cubic root of 4656132096 is about 1669.8409132882.

The spelling of 4656132096 in words is "four billion, six hundred fifty-six million, one hundred thirty-two thousand, ninety-six".