45544795101000 has 1920 divisors, whose sum is σ = 185935727577600. Its totient is φ = 10359498240000.

The previous prime is 45544795100977. The next prime is 45544795101007. The reversal of 45544795101000 is 10159744554.

45544795101000 is a `hidden beast` number, since 4 + 5 + 5 + 447 + 95 + 10 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (45544795101007) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 10663728865 + ... + 10663733135.

It is an arithmetic number, because the mean of its divisors is an integer number (96841524780).

Almost surely, 2^{45544795101000} is an apocalyptic number.

45544795101000 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 45544795101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92967863788800).

45544795101000 is an abundant number, since it is smaller than the sum of its proper divisors (140390932476600).

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

45544795101000 is a wasteful number, since it uses less digits than its factorization.

45544795101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 45544795101000 in words is "forty-five trillion, five hundred forty-four billion, seven hundred ninety-five million, one hundred one thousand".