45251550545004 has 288 divisors, whose sum is σ = 128453475870720. Its totient is φ = 13357438617600.

The previous prime is 45251550544951. The next prime is 45251550545009. The reversal of 45251550545004 is 40054505515254.

It is a happy number.

45251550545004 is a `hidden beast` number, since 4 + 5 + 2 + 51 + 5 + 50 + 545 + 0 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (45251550545009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 438683274 + ... + 438786414.

It is an arithmetic number, because the mean of its divisors is an integer number (446019013440).

Almost surely, 2^{45251550545004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45251550545004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64226737935360).

45251550545004 is an abundant number, since it is smaller than the sum of its proper divisors (83201925325716).

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

45251550545004 is a wasteful number, since it uses less digits than its factorization.

45251550545004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103701 (or 103696 counting only the distinct ones).

The product of its (nonzero) digits is 2000000, while the sum is 45.

The spelling of 45251550545004 in words is "forty-five trillion, two hundred fifty-one billion, five hundred fifty million, five hundred forty-five thousand, four".