45458733785454 has 192 divisors, whose sum is σ = 113435461601280. Its totient is φ = 13029442272000.

The previous prime is 45458733785431. The next prime is 45458733785459.

45458733785454 is a `hidden beast` number, since 4 + 5 + 4 + 5 + 8 + 7 + 3 + 3 + 78 + 545 + 4 = 666.

45458733785454 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×45458733785454² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45458733785459) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69306819 + ... + 69959649.

It is an arithmetic number, because the mean of its divisors is an integer number (590809695840).

Almost surely, 2^{45458733785454} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45458733785454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56717730800640).

45458733785454 is an abundant number, since it is smaller than the sum of its proper divisors (67976727815826).

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

45458733785454 is a wasteful number, since it uses less digits than its factorization.

45458733785454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653127 (or 653124 counting only the distinct ones).

The product of its digits is 4515840000, while the sum is 72.

The spelling of 45458733785454 in words is "forty-five trillion, four hundred fifty-eight billion, seven hundred thirty-three million, seven hundred eighty-five thousand, four hundred fifty-four".