46371491712 has 896 divisors, whose sum is σ = 175808962560. Its totient is φ = 11851370496.

The previous prime is 46371491711. The next prime is 46371491731. The reversal of 46371491712 is 21719417364.

It is a happy number.

46371491712 is a `hidden beast` number, since 4 + 637 + 1 + 4 + 9 + 1 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46371491711) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 365129793 + ... + 365129919.

It is an arithmetic number, because the mean of its divisors is an integer number (196215360).

Almost surely, 2^46371491712 is an apocalyptic number.

46371491712 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 46371491712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87904481280).

46371491712 is an abundant number, since it is smaller than the sum of its proper divisors (129437470848).

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

46371491712 is a wasteful number, since it uses less digits than its factorization.

46371491712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 195 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 46371491712 in words is "forty-six billion, three hundred seventy-one million, four hundred ninety-one thousand, seven hundred twelve".