46187622144 has 288 divisors, whose sum is σ = 140968466240. Its totient is φ = 14906032128.

The previous prime is 46187622137. The next prime is 46187622149. The reversal of 46187622144 is 44122678164.

46187622144 is a `hidden beast` number, since 4 + 6 + 1 + 8 + 7 + 622 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 46187622144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46187622149) 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 31 ways as a sum of consecutive naturals, for example, 80047584 + ... + 80048160.

Almost surely, 2^46187622144 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 46187622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70484233120).

46187622144 is an abundant number, since it is smaller than the sum of its proper divisors (94780844096).

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

46187622144 is a wasteful number, since it uses less digits than its factorization.

46187622144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 932 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 46187622144 in words is "forty-six billion, one hundred eighty-seven million, six hundred twenty-two thousand, one hundred forty-four".