46320989184 has 440 divisors, whose sum is σ = 144932561928. Its totient is φ = 14722007040.

The previous prime is 46320989171. The next prime is 46320989191. The reversal of 46320989184 is 48198902364.

46320989184 is a `hidden beast` number, since 463 + 2 + 0 + 98 + 91 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12875894784 + 33445094400 = 113472^2 + 182880^2 .

It is a super-3 number, since 3×46320989184³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 46320989184.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180237184 + ... + 180237440.

Almost surely, 2^46320989184 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 46320989184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72466280964).

46320989184 is an abundant number, since it is smaller than the sum of its proper divisors (98611572744).

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

46320989184 is a wasteful number, since it uses less digits than its factorization.

46320989184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 46320989184 in words is "forty-six billion, three hundred twenty million, nine hundred eighty-nine thousand, one hundred eighty-four".