45358383058560 has 1280 divisors, whose sum is σ = 192266598585600. Its totient is φ = 10045327933440.

The previous prime is 45358383058507. The next prime is 45358383058567. The reversal of 45358383058560 is 6585038385354.

45358383058560 is a `hidden beast` number, since 4 + 5 + 3 + 5 + 8 + 38 + 30 + 5 + 8 + 560 = 666.

It is a super-3 number, since 3×45358383058560³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (45358383058567) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 719041101 + ... + 719104179.

It is an arithmetic number, because the mean of its divisors is an integer number (150208280145).

Almost surely, 2^{45358383058560} is an apocalyptic number.

45358383058560 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 45358383058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96133299292800).

45358383058560 is an abundant number, since it is smaller than the sum of its proper divisors (146908215527040).

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

45358383058560 is a wasteful number, since it uses less digits than its factorization.

45358383058560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63231 (or 63210 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 63.

The spelling of 45358383058560 in words is "forty-five trillion, three hundred fifty-eight billion, three hundred eighty-three million, fifty-eight thousand, five hundred sixty".