46384940160 has 384 divisors, whose sum is σ = 181578196800. Its totient is φ = 10816561152.

The previous prime is 46384940159. The next prime is 46384940191. The reversal of 46384940160 is 6104948364.

46384940160 is a `hidden beast` number, since 4 + 638 + 4 + 9 + 4 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1406419 + ... + 1439021.

Almost surely, 2^46384940160 is an apocalyptic number.

46384940160 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 46384940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90789098400).

46384940160 is an abundant number, since it is smaller than the sum of its proper divisors (135193256640).

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

46384940160 is a wasteful number, since it uses less digits than its factorization.

46384940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32660 (or 32645 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 46384940160 in words is "forty-six billion, three hundred eighty-four million, nine hundred forty thousand, one hundred sixty".