45108139416288 has 288 divisors, whose sum is σ = 136261210105440. Its totient is φ = 13062972948480.

The previous prime is 45108139416257. The next prime is 45108139416299. The reversal of 45108139416288 is 88261493180154.

It is a congruent number.

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, 60583548 + ... + 61323588.

It is an arithmetic number, because the mean of its divisors is an integer number (473129201755).

Almost surely, 2^{45108139416288} is an apocalyptic number.

45108139416288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45108139416288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68130605052720).

45108139416288 is an abundant number, since it is smaller than the sum of its proper divisors (91153070689152).

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

45108139416288 is a wasteful number, since it uses less digits than its factorization.

45108139416288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740127 (or 740076 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 60.

The spelling of 45108139416288 in words is "forty-five trillion, one hundred eight billion, one hundred thirty-nine million, four hundred sixteen thousand, two hundred eighty-eight".