281157146506764 has 144 divisors (see below), whose sum is σ = 775949575914240. Its totient is φ = 85129114734720.

The previous prime is 281157146506763. The next prime is 281157146506771. The reversal of 281157146506764 is 467605641751182.

281157146506764 is a `hidden beast` number, since 2 + 8 + 1 + 1 + 57 + 1 + 4 + 6 + 506 + 76 + 4 = 666.

It is a super-2 number, since 2×281157146506764² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (281157146506763) 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, 2493377817 + ... + 2493490575.

Almost surely, 2^{281157146506764} is an apocalyptic number.

It is an amenable number.

281157146506764 is an abundant number, since it is smaller than the sum of its proper divisors (494792429407476).

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

281157146506764 is a wasteful number, since it uses less digits than its factorization.

281157146506764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117900 (or 117895 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 281157146506764 in words is "two hundred eighty-one trillion, one hundred fifty-seven billion, one hundred forty-six million, five hundred six thousand, seven hundred sixty-four".