46401159168 has 864 divisors, whose sum is σ = 177734852100. Its totient is φ = 11593580544.

The previous prime is 46401159139. The next prime is 46401159223. The reversal of 46401159168 is 86195110464.

46401159168 is a `hidden beast` number, since 4 + 6 + 40 + 11 + 591 + 6 + 8 = 666.

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 53 ways as a sum of consecutive naturals, for example, 2442166263 + ... + 2442166281.

Almost surely, 2^46401159168 is an apocalyptic number.

46401159168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46401159168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88867426050).

46401159168 is an abundant number, since it is smaller than the sum of its proper divisors (131333692932).

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

46401159168 is a wasteful number, since it uses less digits than its factorization.

46401159168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 46401159168 in words is "forty-six billion, four hundred one million, one hundred fifty-nine thousand, one hundred sixty-eight".