45758171142760 has 192 divisors, whose sum is σ = 108433026449280. Its totient is φ = 17373352442880.

The previous prime is 45758171142751. The next prime is 45758171142763. The reversal of 45758171142760 is 6724117185754.

It is a super-2 number, since 2×45758171142760² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 45758171142695 and 45758171142704.

It is not an unprimeable number, because it can be changed into a prime (45758171142763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4972088319 + ... + 4972097521.

It is an arithmetic number, because the mean of its divisors is an integer number (564755346090).

Almost surely, 2^{45758171142760} is an apocalyptic number.

45758171142760 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 45758171142760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54216513224640).

45758171142760 is an abundant number, since it is smaller than the sum of its proper divisors (62674855306520).

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

45758171142760 is a wasteful number, since it uses less digits than its factorization.

45758171142760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11756 (or 11723 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 58.

The spelling of 45758171142760 in words is "forty-five trillion, seven hundred fifty-eight billion, one hundred seventy-one million, one hundred forty-two thousand, seven hundred sixty".