46200616416 has 144 divisors (see below), whose sum is σ = 136030330800. Its totient is φ = 14856382464.

The previous prime is 46200616403. The next prime is 46200616417. The reversal of 46200616416 is 61461600264.

46200616416 is a `hidden beast` number, since 4 + 6 + 2 + 0 + 0 + 6 + 1 + 641 + 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 (46200616417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16928140 + ... + 16930868.

It is an arithmetic number, because the mean of its divisors is an integer number (944655075).

Almost surely, 2^46200616416 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 46200616416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68015165400).

46200616416 is an abundant number, since it is smaller than the sum of its proper divisors (89829714384).

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

46200616416 is a wasteful number, since it uses less digits than its factorization.

46200616416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4801 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 46200616416 in words is "forty-six billion, two hundred million, six hundred sixteen thousand, four hundred sixteen".