46448048408832 has 432 divisors, whose sum is σ = 166754377525120. Its totient is φ = 12490227744768.

The previous prime is 46448048408819. The next prime is 46448048408887. The reversal of 46448048408832 is 23880484084464.

46448048408832 is a `hidden beast` number, since 4 + 6 + 4 + 48 + 0 + 484 + 0 + 88 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 46448048408832.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12322098 + ... + 15643854.

Almost surely, 2^{46448048408832} is an apocalyptic number.

46448048408832 is a gapful number since it is divisible by the number (42) 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 46448048408832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83377188762560).

46448048408832 is an abundant number, since it is smaller than the sum of its proper divisors (120306329116288).

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

46448048408832 is a wasteful number, since it uses less digits than its factorization.

46448048408832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321823 (or 3321786 counting only the distinct ones).

The product of its (nonzero) digits is 150994944, while the sum is 63.

The spelling of 46448048408832 in words is "forty-six trillion, four hundred forty-eight billion, forty-eight million, four hundred eight thousand, eight hundred thirty-two".