145593261891 has 192 divisors, whose sum is σ = 292533120000. Its totient is φ = 70517744640.

The previous prime is 145593261841. The next prime is 145593261893. The reversal of 145593261891 is 198162395541.

145593261891 is a `hidden beast` number, since 1 + 4 + 559 + 3 + 2 + 6 + 1 + 89 + 1 = 666.

It is not a de Polignac number, because 145593261891 - 2⁹ = 145593261379 is a prime.

It is a super-2 number, since 2×145593261891² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145593261893) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26964010 + ... + 26969408.

It is an arithmetic number, because the mean of its divisors is an integer number (1523610000).

Almost surely, 2^145593261891 is an apocalyptic number.

145593261891 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

145593261891 is an abundant number, since it is smaller than the sum of its proper divisors (146939858109).

145593261891 is a wasteful number, since it uses less digits than its factorization.

145593261891 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5559 (or 5546 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The spelling of 145593261891 in words is "one hundred forty-five billion, five hundred ninety-three million, two hundred sixty-one thousand, eight hundred ninety-one".