43768395952416 has 288 divisors, whose sum is σ = 128680606454400. Its totient is φ = 14102899679232.

The previous prime is 43768395952367. The next prime is 43768395952433. The reversal of 43768395952416 is 61425959386734.

43768395952416 is a `hidden beast` number, since 4 + 3 + 7 + 6 + 8 + 3 + 9 + 595 + 24 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947365285 + ... + 947411483.

It is an arithmetic number, because the mean of its divisors is an integer number (446807661300).

Almost surely, 2^{43768395952416} 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 43768395952416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64340303227200).

43768395952416 is an abundant number, since it is smaller than the sum of its proper divisors (84912210501984).

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

43768395952416 is a wasteful number, since it uses less digits than its factorization.

43768395952416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47048 (or 47037 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 72.

The spelling of 43768395952416 in words is "forty-three trillion, seven hundred sixty-eight billion, three hundred ninety-five million, nine hundred fifty-two thousand, four hundred sixteen".