45508230383616 has 4800 divisors, whose sum is σ = 201453774762240. Its totient is φ = 10050742517760.

The previous prime is 45508230383503. The next prime is 45508230383621. The reversal of 45508230383616 is 61638303280554.

45508230383616 is a `hidden beast` number, since 4 + 550 + 8 + 2 + 3 + 0 + 3 + 83 + 6 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 399 ways as a sum of consecutive naturals, for example, 968260220905 + ... + 968260220951.

Almost surely, 2^{45508230383616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45508230383616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100726887381120).

45508230383616 is an abundant number, since it is smaller than the sum of its proper divisors (155945544378624).

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

45508230383616 is a wasteful number, since it uses less digits than its factorization.

45508230383616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 45508230383616 in words is "forty-five trillion, five hundred eight billion, two hundred thirty million, three hundred eighty-three thousand, six hundred sixteen".