45550954600800 has 1152 divisors, whose sum is σ = 177511478538240. Its totient is φ = 10025126092800.

The previous prime is 45550954600787. The next prime is 45550954600807. The reversal of 45550954600800 is 800645905554.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45550954600807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1143126477 + ... + 1143166323.

It is an arithmetic number, because the mean of its divisors is an integer number (154089825120).

Almost surely, 2^{45550954600800} is an apocalyptic number.

45550954600800 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 45550954600800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88755739269120).

45550954600800 is an abundant number, since it is smaller than the sum of its proper divisors (131960523937440).

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

45550954600800 is a wasteful number, since it uses less digits than its factorization.

45550954600800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39996 (or 39983 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 51.

The spelling of 45550954600800 in words is "forty-five trillion, five hundred fifty billion, nine hundred fifty-four million, six hundred thousand, eight hundred".