46686119040 has 1280 divisors, whose sum is σ = 199051776000. Its totient is φ = 10301644800.

The previous prime is 46686118991. The next prime is 46686119041. The reversal of 46686119040 is 4091168664.

46686119040 is a `hidden beast` number, since 466 + 8 + 61 + 1 + 90 + 40 = 666.

It is a super-3 number, since 3×46686119040³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46686119041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 335871291 + ... + 335871429.

It is an arithmetic number, because the mean of its divisors is an integer number (155509200).

Almost surely, 2^46686119040 is an apocalyptic number.

46686119040 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 46686119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99525888000).

46686119040 is an abundant number, since it is smaller than the sum of its proper divisors (152365656960).

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

46686119040 is a wasteful number, since it uses less digits than its factorization.

46686119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 46686119040 in words is "forty-six billion, six hundred eighty-six million, one hundred nineteen thousand, forty".