45191208142080 has 2592 divisors, whose sum is σ = 219472226483328. Its totient is φ = 8433215078400.

The previous prime is 45191208142063. The next prime is 45191208142081. The reversal of 45191208142080 is 8024180219154.

45191208142080 is a `hidden beast` number, since 4 + 5 + 19 + 1 + 208 + 1 + 420 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45191208142081) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2986656115 + ... + 2986671245.

It is an arithmetic number, because the mean of its divisors is an integer number (84672926884).

Almost surely, 2^{45191208142080} is an apocalyptic number.

45191208142080 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 45191208142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109736113241664).

45191208142080 is an abundant number, since it is smaller than the sum of its proper divisors (174281018341248).

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

45191208142080 is a wasteful number, since it uses less digits than its factorization.

45191208142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15233 (or 15209 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 45191208142080 in words is "forty-five trillion, one hundred ninety-one billion, two hundred eight million, one hundred forty-two thousand, eighty".