8005146557 has 32 divisors (see below), whose sum is σ = 8870843520. Its totient is φ = 7195668480.

The previous prime is 8005146511. The next prime is 8005146607. The reversal of 8005146557 is 7556415008.

It is a cyclic number.

It is not a de Polignac number, because 8005146557 - 2¹⁴ = 8005130173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005142557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11824103 + ... + 11824779.

It is an arithmetic number, because the mean of its divisors is an integer number (277213860).

Almost surely, 2^8005146557 is an apocalyptic number.

It is an amenable number.

8005146557 is a deficient number, since it is larger than the sum of its proper divisors (865696963).

8005146557 is a wasteful number, since it uses less digits than its factorization.

8005146557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133.

The product of its (nonzero) digits is 168000, while the sum is 41.

The square root of 8005146557 is about 89471.4846026375. The cubic root of 8005146557 is about 2000.4287878139.

The spelling of 8005146557 in words is "eight billion, five million, one hundred forty-six thousand, five hundred fifty-seven".