45884643840000 has 1560 divisors, whose sum is σ = 190123103282112. Its totient is φ = 10441359360000.

The previous prime is 45884643839981. The next prime is 45884643840001. The reversal of 45884643840000 is 4834648854.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45884643840001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 47255039515 + ... + 47255040485.

Almost surely, 2^{45884643840000} is an apocalyptic number.

45884643840000 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 45884643840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95061551641056).

45884643840000 is an abundant number, since it is smaller than the sum of its proper divisors (144238459442112).

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

45884643840000 is an equidigital number, since it uses as much as digits as its factorization.

45884643840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 45884643840000 in words is "forty-five trillion, eight hundred eighty-four billion, six hundred forty-three million, eight hundred forty thousand".