45187607808 has 576 divisors, whose sum is σ = 161249034240. Its totient is φ = 12209356800.

The previous prime is 45187607807. The next prime is 45187607821. The reversal of 45187607808 is 80870678154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45187607807) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70495168 + ... + 70495808.

It is an arithmetic number, because the mean of its divisors is an integer number (279946240).

Almost surely, 2^45187607808 is an apocalyptic number.

45187607808 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 45187607808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80624517120).

45187607808 is an abundant number, since it is smaller than the sum of its proper divisors (116061426432).

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

45187607808 is a wasteful number, since it uses less digits than its factorization.

45187607808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 45187607808 in words is "forty-five billion, one hundred eighty-seven million, six hundred seven thousand, eight hundred eight".