45452541120 has 672 divisors, whose sum is σ = 179428981248. Its totient is φ = 9696411648.

The previous prime is 45452541119. The next prime is 45452541131. The reversal of 45452541120 is 2114525454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46522072 + ... + 46523048.

Almost surely, 2^45452541120 is an apocalyptic number.

45452541120 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 45452541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89714490624).

45452541120 is an abundant number, since it is smaller than the sum of its proper divisors (133976440128).

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

45452541120 is a wasteful number, since it uses less digits than its factorization.

45452541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The spelling of 45452541120 in words is "forty-five billion, four hundred fifty-two million, five hundred forty-one thousand, one hundred twenty".