4561346016 has 144 divisors (see below), whose sum is σ = 13722168096. Its totient is φ = 1434267648.

The previous prime is 4561346011. The next prime is 4561346033. The reversal of 4561346016 is 6106431654.

It is a happy number.

4561346016 is a `hidden beast` number, since 4 + 561 + 34 + 60 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (4561346011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478836 + ... + 488268.

It is an arithmetic number, because the mean of its divisors is an integer number (95292834).

Almost surely, 2^4561346016 is an apocalyptic number.

4561346016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4561346016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6861084048).

4561346016 is an abundant number, since it is smaller than the sum of its proper divisors (9160822080).

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

4561346016 is a wasteful number, since it uses less digits than its factorization.

4561346016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9545 (or 9534 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4561346016 is about 67537.7377175161. The cubic root of 4561346016 is about 1658.4320143382.

The spelling of 4561346016 in words is "four billion, five hundred sixty-one million, three hundred forty-six thousand, sixteen".