45162642451968 has 320 divisors, whose sum is σ = 134675831980800. Its totient is φ = 14942968750080.

The previous prime is 45162642451937. The next prime is 45162642452023. The reversal of 45162642451968 is 86915424626154.

45162642451968 is a `hidden beast` number, since 4 + 5 + 1 + 62 + 64 + 2 + 451 + 9 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1105471030 + ... + 1105511882.

It is an arithmetic number, because the mean of its divisors is an integer number (420861974940).

Almost surely, 2^{45162642451968} is an apocalyptic number.

45162642451968 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 45162642451968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67337915990400).

45162642451968 is an abundant number, since it is smaller than the sum of its proper divisors (89513189528832).

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

45162642451968 is a wasteful number, since it uses less digits than its factorization.

45162642451968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41470 (or 41448 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 45162642451968 in words is "forty-five trillion, one hundred sixty-two billion, six hundred forty-two million, four hundred fifty-one thousand, nine hundred sixty-eight".