45103988160 has 1232 divisors, whose sum is σ = 207337347072. Its totient is φ = 9069926400.

The previous prime is 45103988131. The next prime is 45103988177. The reversal of 45103988160 is 6188930154.

45103988160 is a `hidden beast` number, since 451 + 0 + 39 + 8 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1232).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 1454967345 + ... + 1454967375.

Almost surely, 2^45103988160 is an apocalyptic number.

45103988160 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 45103988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103668673536).

45103988160 is an abundant number, since it is smaller than the sum of its proper divisors (162233358912).

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

45103988160 is an equidigital number, since it uses as much as digits as its factorization.

45103988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 45103988160 in words is "forty-five billion, one hundred three million, nine hundred eighty-eight thousand, one hundred sixty".