45118210464 has 288 divisors, whose sum is σ = 144592680960. Its totient is φ = 13786848000.

The previous prime is 45118210393. The next prime is 45118210507. The reversal of 45118210464 is 46401281154.

45118210464 is a `hidden beast` number, since 4 + 5 + 1 + 182 + 10 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4575139 + ... + 4584989.

It is an arithmetic number, because the mean of its divisors is an integer number (502057920).

Almost surely, 2^45118210464 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 45118210464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72296340480).

45118210464 is an abundant number, since it is smaller than the sum of its proper divisors (99474470496).

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

45118210464 is a wasteful number, since it uses less digits than its factorization.

45118210464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9926 (or 9906 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 45118210464 in words is "forty-five billion, one hundred eighteen million, two hundred ten thousand, four hundred sixty-four".