5516646432 has 192 divisors, whose sum is σ = 16533393408. Its totient is φ = 1595648000.

The previous prime is 5516646413. The next prime is 5516646451. The reversal of 5516646432 is 2346466155.

It is an interprime number because it is at equal distance from previous prime (5516646413) and next prime (5516646451).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 2033557 + ... + 2036267.

It is an arithmetic number, because the mean of its divisors is an integer number (86111424).

Almost surely, 2^5516646432 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 5516646432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8266696704).

5516646432 is an abundant number, since it is smaller than the sum of its proper divisors (11016746976).

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

5516646432 is a wasteful number, since it uses less digits than its factorization.

5516646432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2815 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 5516646432 is about 74274.1303012025. The cubic root of 5516646432 is about 1766.9532135341.

It can be divided in two parts, 551664 and 6432, that added together give a triangular number (558096 = T₁₀₅₆).

The spelling of 5516646432 in words is "five billion, five hundred sixteen million, six hundred forty-six thousand, four hundred thirty-two".