46800024683445 has 256 divisors, whose sum is σ = 96325662965760. Its totient is φ = 21342843187200.

The previous prime is 46800024683441. The next prime is 46800024683453. The reversal of 46800024683445 is 54438642000864.

It is a happy number.

46800024683445 is a `hidden beast` number, since 4 + 6 + 80 + 0 + 0 + 2 + 46 + 83 + 445 = 666.

46800024683445 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 46800024683445 - 2² = 46800024683441 is a prime.

It is a super-2 number, since 2×46800024683445² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46800024683391 and 46800024683400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46800024683441) 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 255 ways as a sum of consecutive naturals, for example, 1664105154 + ... + 1664133276.

It is an arithmetic number, because the mean of its divisors is an integer number (376272120960).

Almost surely, 2^{46800024683445} is an apocalyptic number.

46800024683445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

46800024683445 is an abundant number, since it is smaller than the sum of its proper divisors (49525638282315).

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

46800024683445 is a wasteful number, since it uses less digits than its factorization.

46800024683445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29193 (or 29187 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 46800024683445 in words is "forty-six trillion, eight hundred billion, twenty-four million, six hundred eighty-three thousand, four hundred forty-five".