45301171968 has 648 divisors, whose sum is σ = 152493519360. Its totient is φ = 13392138240.

The previous prime is 45301171921. The next prime is 45301171997. The reversal of 45301171968 is 86917110354.

45301171968 is a `hidden beast` number, since 453 + 0 + 1 + 1 + 7 + 196 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 325907643 + ... + 325907781.

Almost surely, 2^45301171968 is an apocalyptic number.

45301171968 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 45301171968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76246759680).

45301171968 is an abundant number, since it is smaller than the sum of its proper divisors (107192347392).

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

45301171968 is a wasteful number, since it uses less digits than its factorization.

45301171968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 45301171968 in words is "forty-five billion, three hundred one million, one hundred seventy-one thousand, nine hundred sixty-eight".