45843879936000 has 240 divisors, whose sum is σ = 152563796854560. Its totient is φ = 12225033011200.

The previous prime is 45843879935983. The next prime is 45843879936007. The reversal of 45843879936000 is 63997834854.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×45843879936000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45843879936007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2413216 + ... + 9874784.

It is an arithmetic number, because the mean of its divisors is an integer number (635682486894).

Almost surely, 2^{45843879936000} is an apocalyptic number.

45843879936000 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 45843879936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76281898427280).

45843879936000 is an abundant number, since it is smaller than the sum of its proper divisors (106719916918560).

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

45843879936000 is an frugal number, since it uses more digits than its factorization.

45843879936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7461615 (or 7461579 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 45843879936000 in words is "forty-five trillion, eight hundred forty-three billion, eight hundred seventy-nine million, nine hundred thirty-six thousand".