45105155200 has 192 divisors, whose sum is σ = 128660515200. Its totient is φ = 15304458240.

The previous prime is 45105155197. The next prime is 45105155219. The reversal of 45105155200 is 255150154.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2162421 + ... + 2183179.

It is an arithmetic number, because the mean of its divisors is an integer number (670106850).

Almost surely, 2^45105155200 is an apocalyptic number.

45105155200 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 45105155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64330257600).

45105155200 is an abundant number, since it is smaller than the sum of its proper divisors (83555360000).

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

45105155200 is a wasteful number, since it uses less digits than its factorization.

45105155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20887 (or 20870 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 28.

The spelling of 45105155200 in words is "forty-five billion, one hundred five million, one hundred fifty-five thousand, two hundred".