46867841808480 has 432 divisors, whose sum is σ = 202962105322704. Its totient is φ = 9738772162560.

The previous prime is 46867841808391. The next prime is 46867841808481. The reversal of 46867841808480 is 8480814876864.

It is a happy number.

46867841808480 is a `hidden beast` number, since 4 + 6 + 8 + 67 + 8 + 4 + 1 + 80 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 46867841808399 and 46867841808408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46867841808481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29415967 + ... + 30968286.

It is an arithmetic number, because the mean of its divisors is an integer number (469819688247).

Almost surely, 2^{46867841808480} is an apocalyptic number.

46867841808480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46867841808480 is an abundant number, since it is smaller than the sum of its proper divisors (156094263514224).

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

46867841808480 is a wasteful number, since it uses less digits than its factorization.

46867841808480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60384299 (or 60384281 counting only the distinct ones).

The product of its (nonzero) digits is 528482304, while the sum is 72.

The spelling of 46867841808480 in words is "forty-six trillion, eight hundred sixty-seven billion, eight hundred forty-one million, eight hundred eight thousand, four hundred eighty".