46959966144 has 504 divisors, whose sum is σ = 170083721808. Its totient is φ = 12277923840.

The previous prime is 46959966043. The next prime is 46959966149. The reversal of 46959966144 is 44166995964.

46959966144 is a `hidden beast` number, since 4 + 6 + 9 + 5 + 9 + 9 + 6 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46959966149) 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 71 ways as a sum of consecutive naturals, for example, 48064984 + ... + 48065960.

It is an arithmetic number, because the mean of its divisors is an integer number (337467702).

Almost surely, 2^46959966144 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 46959966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85041860904).

46959966144 is an abundant number, since it is smaller than the sum of its proper divisors (123123755664).

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

46959966144 is a wasteful number, since it uses less digits than its factorization.

46959966144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1133 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The spelling of 46959966144 in words is "forty-six billion, nine hundred fifty-nine million, nine hundred sixty-six thousand, one hundred forty-four".