43361974656 has 768 divisors, whose sum is σ = 173081825280. Its totient is φ = 10052812800.

The previous prime is 43361974651. The next prime is 43361974673. The reversal of 43361974656 is 65647916334.

43361974656 is a `hidden beast` number, since 4 + 33 + 61 + 97 + 465 + 6 = 666.

It is a super-3 number, since 3×43361974656³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43361974651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35747106 + ... + 35748318.

It is an arithmetic number, because the mean of its divisors is an integer number (225366960).

Almost surely, 2^43361974656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43361974656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86540912640).

43361974656 is an abundant number, since it is smaller than the sum of its proper divisors (129719850624).

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

43361974656 is a wasteful number, since it uses less digits than its factorization.

43361974656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1280 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 43361974656 in words is "forty-three billion, three hundred sixty-one million, nine hundred seventy-four thousand, six hundred fifty-six".