45518635759968 has 288 divisors, whose sum is σ = 151041012595200. Its totient is φ = 12734881855488.

The previous prime is 45518635759957. The next prime is 45518635759969. The reversal of 45518635759968 is 86995753681554.

45518635759968 is a `hidden beast` number, since 4 + 5 + 5 + 18 + 6 + 3 + 5 + 7 + 599 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×45518635759968² (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 (45518635759969) 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, 19343773 + ... + 21568931.

It is an arithmetic number, because the mean of its divisors is an integer number (524447960400).

Almost surely, 2^{45518635759968} is an apocalyptic number.

45518635759968 is a gapful number since it is divisible by the number (48) 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 45518635759968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75520506297600).

45518635759968 is an abundant number, since it is smaller than the sum of its proper divisors (105522376835232).

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

45518635759968 is a wasteful number, since it uses less digits than its factorization.

45518635759968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225394 (or 2225383 counting only the distinct ones).

The product of its digits is 9797760000, while the sum is 81.

The spelling of 45518635759968 in words is "forty-five trillion, five hundred eighteen billion, six hundred thirty-five million, seven hundred fifty-nine thousand, nine hundred sixty-eight".