83564275763241 has 48 divisors (see below), whose sum is σ = 148682410065280. Its totient is φ = 44041158259200.

The previous prime is 83564275763183. The next prime is 83564275763321. The reversal of 83564275763241 is 14236757246538.

83564275763241 is a `hidden beast` number, since 8 + 3 + 5 + 6 + 4 + 27 + 576 + 32 + 4 + 1 = 666.

It is not a de Polignac number, because 83564275763241 - 2¹³ = 83564275755049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (83564275763641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41494351 + ... + 43461588.

Almost surely, 2^{83564275763241} is an apocalyptic number.

It is an amenable number.

83564275763241 is a deficient number, since it is larger than the sum of its proper divisors (65118134302039).

83564275763241 is a wasteful number, since it uses less digits than its factorization.

83564275763241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84957166 (or 84957163 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 63.

The spelling of 83564275763241 in words is "eighty-three trillion, five hundred sixty-four billion, two hundred seventy-five million, seven hundred sixty-three thousand, two hundred forty-one".