45510187608 has 640 divisors, whose sum is σ = 147197952000. Its totient is φ = 13070211840.

The previous prime is 45510187601. The next prime is 45510187631. The reversal of 45510187608 is 80678101554.

45510187608 is a `hidden beast` number, since 455 + 10 + 187 + 6 + 0 + 8 = 666.

It is a super-2 number, since 2×45510187608² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45510187601) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 771359083 + ... + 771359141.

It is an arithmetic number, because the mean of its divisors is an integer number (229996800).

Almost surely, 2^45510187608 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 45510187608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73598976000).

45510187608 is an abundant number, since it is smaller than the sum of its proper divisors (101687764392).

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

45510187608 is a wasteful number, since it uses less digits than its factorization.

45510187608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 45510187608 in words is "forty-five billion, five hundred ten million, one hundred eighty-seven thousand, six hundred eight".