45967290248799 has 28 divisors (see below), whose sum is σ = 69087915296800. Its totient is φ = 30569933659104.

The previous prime is 45967290248773. The next prime is 45967290248837. The reversal of 45967290248799 is 99784209276954.

45967290248799 is a `hidden beast` number, since 4 + 59 + 67 + 29 + 0 + 2 + 487 + 9 + 9 = 666.

45967290248799 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45967290248799 - 2²¹ = 45967288151647 is a prime.

It is a super-2 number, since 2×45967290248799² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45967290248599) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 76786519 + ... + 77382840.

Almost surely, 2^{45967290248799} is an apocalyptic number.

45967290248799 is a deficient number, since it is larger than the sum of its proper divisors (23120625048001).

45967290248799 is an equidigital number, since it uses as much as digits as its factorization.

45967290248799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154169786 (or 154169771 counting only the distinct ones).

The product of its (nonzero) digits is 4938071040, while the sum is 81.

The spelling of 45967290248799 in words is "forty-five trillion, nine hundred sixty-seven billion, two hundred ninety million, two hundred forty-eight thousand, seven hundred ninety-nine".