46404920016 has 240 divisors, whose sum is σ = 163103449600. Its totient is φ = 12238490880.

The previous prime is 46404919969. The next prime is 46404920021. The reversal of 46404920016 is 61002940464.

46404920016 is a `hidden beast` number, since 4 + 640 + 4 + 9 + 2 + 0 + 0 + 1 + 6 = 666.

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

It is a congruent number.

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, 605961 + ... + 678231.

Almost surely, 2^46404920016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46404920016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81551724800).

46404920016 is an abundant number, since it is smaller than the sum of its proper divisors (116698529584).

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

46404920016 is a wasteful number, since it uses less digits than its factorization.

46404920016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72319 (or 72296 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 46404920016 in words is "forty-six billion, four hundred four million, nine hundred twenty thousand, sixteen".