45839628656640 has 4480 divisors, whose sum is σ = 218043774305280. Its totient is φ = 8943619276800.

The previous prime is 45839628656609. The next prime is 45839628656671. The reversal of 45839628656640 is 4665682693854.

45839628656640 is a `hidden beast` number, since 4 + 5 + 8 + 39 + 6 + 28 + 6 + 566 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45839628656609) and next prime (45839628656671).

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 349920829375 + ... + 349920829505.

It is an arithmetic number, because the mean of its divisors is an integer number (48670485336).

Almost surely, 2^{45839628656640} is an apocalyptic number.

45839628656640 is a gapful number since it is divisible by the number (40) 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 45839628656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109021887152640).

45839628656640 is an abundant number, since it is smaller than the sum of its proper divisors (172204145648640).

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

45839628656640 is a wasteful number, since it uses less digits than its factorization.

45839628656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1791590400, while the sum is 72.

The spelling of 45839628656640 in words is "forty-five trillion, eight hundred thirty-nine billion, six hundred twenty-eight million, six hundred fifty-six thousand, six hundred forty".