46186140000 has 960 divisors, whose sum is σ = 203676802560. Its totient is φ = 8847360000.

The previous prime is 46186139939. The next prime is 46186140001. The reversal of 46186140000 is 4168164.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 46186140000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46186140001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 60059616 + ... + 60060384.

It is an arithmetic number, because the mean of its divisors is an integer number (212163336).

Almost surely, 2^46186140000 is an apocalyptic number.

46186140000 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 46186140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101838401280).

46186140000 is an abundant number, since it is smaller than the sum of its proper divisors (157490662560).

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

46186140000 is a wasteful number, since it uses less digits than its factorization.

46186140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 46186140000 in words is "forty-six billion, one hundred eighty-six million, one hundred forty thousand".