45722975444064 has 144 divisors (see below), whose sum is σ = 136751493400704. Its totient is φ = 14471057203200.

The previous prime is 45722975444039. The next prime is 45722975444089. The reversal of 45722975444064 is 46044457922754.

45722975444064 is a `hidden beast` number, since 4 + 5 + 7 + 2 + 29 + 7 + 544 + 4 + 0 + 64 = 666.

45722975444064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45722975444039) and next prime (45722975444089).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 45722975443992 and 45722975444010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47840977 + ... + 48787344.

It is an arithmetic number, because the mean of its divisors is an integer number (949663148616).

Almost surely, 2^{45722975444064} is an apocalyptic number.

It is an amenable number.

45722975444064 is an abundant number, since it is smaller than the sum of its proper divisors (91028517956640).

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

45722975444064 is a wasteful number, since it uses less digits than its factorization.

45722975444064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96628421 (or 96628410 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 63.

The spelling of 45722975444064 in words is "forty-five trillion, seven hundred twenty-two billion, nine hundred seventy-five million, four hundred forty-four thousand, sixty-four".