45417074032512 has 1536 divisors, whose sum is σ = 173111710464000. Its totient is φ = 11612838150144.

The previous prime is 45417074032489. The next prime is 45417074032513. The reversal of 45417074032512 is 21523047071454.

45417074032512 is a `hidden beast` number, since 4 + 54 + 17 + 0 + 7 + 40 + 32 + 512 = 666.

It is a super-2 number, since 2×45417074032512² (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 (45417074032513) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11278139043 + ... + 11278143069.

It is an arithmetic number, because the mean of its divisors is an integer number (112702936500).

Almost surely, 2^{45417074032512} is an apocalyptic number.

45417074032512 is a gapful number since it is divisible by the number (42) 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 45417074032512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86555855232000).

45417074032512 is an abundant number, since it is smaller than the sum of its proper divisors (127694636431488).

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

45417074032512 is a wasteful number, since it uses less digits than its factorization.

45417074032512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4233 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 45417074032512 in words is "forty-five trillion, four hundred seventeen billion, seventy-four million, thirty-two thousand, five hundred twelve".