45141295680 has 448 divisors, whose sum is σ = 174757201920. Its totient is φ = 10900611072.

The previous prime is 45141295679. The next prime is 45141295691. The reversal of 45141295680 is 8659214154.

45141295680 is a `hidden beast` number, since 4 + 514 + 1 + 2 + 9 + 56 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5949169 + ... + 5956751.

It is an arithmetic number, because the mean of its divisors is an integer number (390083040).

Almost surely, 2^45141295680 is an apocalyptic number.

45141295680 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 45141295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87378600960).

45141295680 is an abundant number, since it is smaller than the sum of its proper divisors (129615906240).

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

45141295680 is a wasteful number, since it uses less digits than its factorization.

45141295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7675 (or 7659 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 45141295680 in words is "forty-five billion, one hundred forty-one million, two hundred ninety-five thousand, six hundred eighty".