45159147067968 has 42 divisors (see below), whose sum is σ = 129440541337094. Its totient is φ = 15053049022464.

The previous prime is 45159147067961. The next prime is 45159147068041. The reversal of 45159147067968 is 86976074195154.

45159147067968 is a `hidden beast` number, since 4 + 5 + 1 + 5 + 9 + 1 + 470 + 67 + 96 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35173344826944 + 9985802241024 = 5930712^2 + 3160032^2 .

It is a super-2 number, since 2×45159147067968² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 45159147067896 and 45159147067905.

It is not an unprimeable number, because it can be changed into a prime (45159147067961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39200647921 + ... + 39200649072.

Almost surely, 2^{45159147067968} is an apocalyptic number.

45159147067968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45159147067968 is an abundant number, since it is smaller than the sum of its proper divisors (84281394269126).

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

45159147067968 is a wasteful number, since it uses less digits than its factorization.

45159147067968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78401297011 (or 78401296998 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 45159147067968 in words is "forty-five trillion, one hundred fifty-nine billion, one hundred forty-seven million, sixty-seven thousand, nine hundred sixty-eight".