46891885446000 has 2520 divisors, whose sum is σ = 204638177822832. Its totient is φ = 10357212096000.

The previous prime is 46891885445983. The next prime is 46891885446013. The reversal of 46891885446000 is 64458819864.

46891885446000 is a `hidden beast` number, since 4 + 6 + 8 + 9 + 1 + 88 + 544 + 6 + 0 + 0 + 0 = 666.

46891885446000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 68655761659 + ... + 68655762341.

Almost surely, 2^{46891885446000} is an apocalyptic number.

46891885446000 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 46891885446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102319088911416).

46891885446000 is an abundant number, since it is smaller than the sum of its proper divisors (157746292376832).

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

46891885446000 is an equidigital number, since it uses as much as digits as its factorization.

46891885446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 46891885446000 in words is "forty-six trillion, eight hundred ninety-one billion, eight hundred eighty-five million, four hundred forty-six thousand".