45225093416958 has 192 divisors, whose sum is σ = 123073732454400. Its totient is φ = 11926309534272.

The previous prime is 45225093416947. The next prime is 45225093417029. The reversal of 45225093416958 is 85961439052254.

45225093416958 is a `hidden beast` number, since 4 + 5 + 2 + 2 + 509 + 34 + 1 + 6 + 95 + 8 = 666.

45225093416958 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 45225093416895 and 45225093416904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1051651485 + ... + 1051694487.

It is an arithmetic number, because the mean of its divisors is an integer number (641009023200).

Almost surely, 2^{45225093416958} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45225093416958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61536866227200).

45225093416958 is an abundant number, since it is smaller than the sum of its proper divisors (77848639037442).

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

45225093416958 is a wasteful number, since it uses less digits than its factorization.

45225093416958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56148 (or 56131 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 45225093416958 in words is "forty-five trillion, two hundred twenty-five billion, ninety-three million, four hundred sixteen thousand, nine hundred fifty-eight".