46466639820480 has 448 divisors, whose sum is σ = 162460004272128. Its totient is φ = 11158973399040.

The previous prime is 46466639820467. The next prime is 46466639820493. The reversal of 46466639820480 is 8402893666464.

46466639820480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46466639820467) and next prime (46466639820493).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 505999849 + ... + 506091671.

Almost surely, 2^{46466639820480} is an apocalyptic number.

46466639820480 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 46466639820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81230002136064).

46466639820480 is an abundant number, since it is smaller than the sum of its proper divisors (115993364451648).

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

46466639820480 is a wasteful number, since it uses less digits than its factorization.

46466639820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92304 (or 92294 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 66.

The spelling of 46466639820480 in words is "forty-six trillion, four hundred sixty-six billion, six hundred thirty-nine million, eight hundred twenty thousand, four hundred eighty".