45508335840 has 384 divisors, whose sum is σ = 179756236800. Its totient is φ = 10651576320.

The previous prime is 45508335839. The next prime is 45508335871. The reversal of 45508335840 is 4853380554.

45508335840 is a `hidden beast` number, since 4 + 550 + 8 + 3 + 3 + 58 + 40 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1361569 + ... + 1394591.

It is an arithmetic number, because the mean of its divisors is an integer number (468115200).

Almost surely, 2^45508335840 is an apocalyptic number.

45508335840 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 45508335840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89878118400).

45508335840 is an abundant number, since it is smaller than the sum of its proper divisors (134247900960).

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

45508335840 is a wasteful number, since it uses less digits than its factorization.

45508335840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33087 (or 33073 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 45508335840 in words is "forty-five billion, five hundred eight million, three hundred thirty-five thousand, eight hundred forty".