45411545520 has 240 divisors, whose sum is σ = 166658967072. Its totient is φ = 10989834240.

The previous prime is 45411545513. The next prime is 45411545533. The reversal of 45411545520 is 2554511454.

45411545520 is a `hidden beast` number, since 4 + 54 + 1 + 1 + 54 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×45411545520³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 4881994 + ... + 4891286.

Almost surely, 2^45411545520 is an apocalyptic number.

45411545520 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 45411545520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83329483536).

45411545520 is an abundant number, since it is smaller than the sum of its proper divisors (121247421552).

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

45411545520 is a wasteful number, since it uses less digits than its factorization.

45411545520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9940 (or 9931 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 45411545520 in words is "forty-five billion, four hundred eleven million, five hundred forty-five thousand, five hundred twenty".