45897943680 has 320 divisors, whose sum is σ = 173554931880. Its totient is φ = 11519262720.

The previous prime is 45897943649. The next prime is 45897943703. The reversal of 45897943680 is 8634979854.

45897943680 is a `hidden beast` number, since 4 + 58 + 9 + 79 + 436 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33103619136 + 12794324544 = 181944^2 + 113112^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 855240 + ... + 907320.

Almost surely, 2^45897943680 is an apocalyptic number.

45897943680 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 45897943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86777465940).

45897943680 is an abundant number, since it is smaller than the sum of its proper divisors (127656988200).

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

45897943680 is a wasteful number, since it uses less digits than its factorization.

45897943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52129 (or 52108 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 45897943680 in words is "forty-five billion, eight hundred ninety-seven million, nine hundred forty-three thousand, six hundred eighty".