45842251840000 has 1600 divisors, whose sum is σ = 149167031270400. Its totient is φ = 13940398080000.

The previous prime is 45842251839977. The next prime is 45842251840003. The reversal of 45842251840000 is 4815224854.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (45842251840003) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51916479559 + ... + 51916480441.

It is an arithmetic number, because the mean of its divisors is an integer number (93229394544).

Almost surely, 2^{45842251840000} is an apocalyptic number.

45842251840000 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 45842251840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74583515635200).

45842251840000 is an abundant number, since it is smaller than the sum of its proper divisors (103324779430400).

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

45842251840000 is an frugal number, since it uses more digits than its factorization.

45842251840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 43.

The spelling of 45842251840000 in words is "forty-five trillion, eight hundred forty-two billion, two hundred fifty-one million, eight hundred forty thousand".