46143406080 has 768 divisors, whose sum is σ = 177479265600. Its totient is φ = 11466178560.

The previous prime is 46143406079. The next prime is 46143406091. The reversal of 46143406080 is 8060434164.

46143406080 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 3 + 40 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 756449250 + ... + 756449310.

Almost surely, 2^46143406080 is an apocalyptic number.

46143406080 is a gapful number since it is divisible by the number (40) 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 46143406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88739632800).

46143406080 is an abundant number, since it is smaller than the sum of its proper divisors (131335859520).

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

46143406080 is an frugal number, since it uses more digits than its factorization.

46143406080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 46143406080 in words is "forty-six billion, one hundred forty-three million, four hundred six thousand, eighty".