45106449318 has 192 divisors, whose sum is σ = 118751209920. Its totient is φ = 12651738624.

The previous prime is 45106449317. The next prime is 45106449319. The reversal of 45106449318 is 81394460154.

45106449318 is a `hidden beast` number, since 4 + 510 + 6 + 44 + 93 + 1 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (45106449317) and next prime (45106449319).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45106449317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56594896 + ... + 56595692.

It is an arithmetic number, because the mean of its divisors is an integer number (618495885).

Almost surely, 2^45106449318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45106449318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59375604960).

45106449318 is an abundant number, since it is smaller than the sum of its proper divisors (73644760602).

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

45106449318 is a wasteful number, since it uses less digits than its factorization.

45106449318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 45106449318 in words is "forty-five billion, one hundred six million, four hundred forty-nine thousand, three hundred eighteen".