45666017280 has 504 divisors, whose sum is σ = 171646591428. Its totient is φ = 11225530368.

The previous prime is 45666017269. The next prime is 45666017281. The reversal of 45666017280 is 8271066654.

It can be written as a sum of positive squares in 6 ways, for example, as 16400388096 + 29265629184 = 128064^2 + 171072^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (45666017281) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62299794 + ... + 62300526.

Almost surely, 2^45666017280 is an apocalyptic number.

45666017280 is a gapful number since it is divisible by the number (40) 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 45666017280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85823295714).

45666017280 is an abundant number, since it is smaller than the sum of its proper divisors (125980574148).

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

45666017280 is a wasteful number, since it uses less digits than its factorization.

45666017280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 45666017280 in words is "forty-five billion, six hundred sixty-six million, seventeen thousand, two hundred eighty".