45884638368 has 144 divisors (see below), whose sum is σ = 131923209600. Its totient is φ = 15127096320.

The previous prime is 45884638343. The next prime is 45884638369. The reversal of 45884638368 is 86383648854.

45884638368 is a `hidden beast` number, since 4 + 588 + 46 + 3 + 8 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (45884638369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11246953 + ... + 11251031.

It is an arithmetic number, because the mean of its divisors is an integer number (916133400).

Almost surely, 2^45884638368 is an apocalyptic number.

45884638368 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 45884638368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65961604800).

45884638368 is an abundant number, since it is smaller than the sum of its proper divisors (86038571232).

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

45884638368 is a wasteful number, since it uses less digits than its factorization.

45884638368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4515 (or 4504 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 63.

The spelling of 45884638368 in words is "forty-five billion, eight hundred eighty-four million, six hundred thirty-eight thousand, three hundred sixty-eight".