45379582668 has 288 divisors, whose sum is σ = 140105306880. Its totient is φ = 12661608960.

The previous prime is 45379582667. The next prime is 45379582669. The reversal of 45379582668 is 86628597354.

It is a happy number.

45379582668 is a `hidden beast` number, since 4 + 537 + 95 + 8 + 2 + 6 + 6 + 8 = 666.

45379582668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45379582667) and next prime (45379582669).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (45379582667) 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, 46447396 + ... + 46448372.

It is an arithmetic number, because the mean of its divisors is an integer number (486476760).

Almost surely, 2^45379582668 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 45379582668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70052653440).

45379582668 is an abundant number, since it is smaller than the sum of its proper divisors (94725724212).

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

45379582668 is a wasteful number, since it uses less digits than its factorization.

45379582668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1187 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 45379582668 in words is "forty-five billion, three hundred seventy-nine million, five hundred eighty-two thousand, six hundred sixty-eight".