46640838144 has 240 divisors, whose sum is σ = 132161009904. Its totient is φ = 14611660800.

The previous prime is 46640838133. The next prime is 46640838149. The reversal of 46640838144 is 44183804664.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 46640838093 and 46640838102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46640838149) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 49564714 + ... + 49565654.

Almost surely, 2^46640838144 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 46640838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66080504952).

46640838144 is an abundant number, since it is smaller than the sum of its proper divisors (85520171760).

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

46640838144 is an equidigital number, since it uses as much as digits as its factorization.

46640838144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 46640838144 in words is "forty-six billion, six hundred forty million, eight hundred thirty-eight thousand, one hundred forty-four".