45820130323968 has 1440 divisors, whose sum is σ = 184675349354496. Its totient is φ = 10631098368000.

The previous prime is 45820130323921. The next prime is 45820130323987. The reversal of 45820130323968 is 86932303102854.

45820130323968 is a `hidden beast` number, since 4 + 58 + 201 + 3 + 0 + 323 + 9 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1572884763 + ... + 1572913893.

Almost surely, 2^{45820130323968} is an apocalyptic number.

45820130323968 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 45820130323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92337674677248).

45820130323968 is an abundant number, since it is smaller than the sum of its proper divisors (138855219030528).

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

45820130323968 is a wasteful number, since it uses less digits than its factorization.

45820130323968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29228 (or 29198 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 45820130323968 in words is "forty-five trillion, eight hundred twenty billion, one hundred thirty million, three hundred twenty-three thousand, nine hundred sixty-eight".