45106242885 has 144 divisors (see below), whose sum is σ = 94550302080. Its totient is φ = 19686881280.

The previous prime is 45106242859. The next prime is 45106242917. The reversal of 45106242885 is 58824260154.

45106242885 is a `hidden beast` number, since 4 + 5 + 10 + 624 + 2 + 8 + 8 + 5 = 666.

It is not a de Polignac number, because 45106242885 - 2¹⁰ = 45106241861 is a prime.

It is a super-2 number, since 2×45106242885² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 45106242885.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3283411 + ... + 3297119.

It is an arithmetic number, because the mean of its divisors is an integer number (656599320).

Almost surely, 2^45106242885 is an apocalyptic number.

45106242885 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45106242885 is an abundant number, since it is smaller than the sum of its proper divisors (49444059195).

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

45106242885 is a wasteful number, since it uses less digits than its factorization.

45106242885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13788 (or 13768 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 45106242885 in words is "forty-five billion, one hundred six million, two hundred forty-two thousand, eight hundred eighty-five".