45158931941760 has 3072 divisors, whose sum is σ = 210946705920000. Its totient is φ = 8908838535168.

The previous prime is 45158931941713. The next prime is 45158931941779. The reversal of 45158931941760 is 6714913985154.

45158931941760 is a `hidden beast` number, since 4 + 5 + 1 + 589 + 3 + 1 + 9 + 41 + 7 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 69156097594 + ... + 69156098246.

It is an arithmetic number, because the mean of its divisors is an integer number (68667547500).

Almost surely, 2^{45158931941760} is an apocalyptic number.

45158931941760 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 45158931941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105473352960000).

45158931941760 is an abundant number, since it is smaller than the sum of its proper divisors (165787773978240).

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

45158931941760 is a wasteful number, since it uses less digits than its factorization.

45158931941760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 45158931941760 in words is "forty-five trillion, one hundred fifty-eight billion, nine hundred thirty-one million, nine hundred forty-one thousand, seven hundred sixty".