145863368541 has 32 divisors (see below), whose sum is σ = 243867715200. Its totient is φ = 85353690240.

The previous prime is 145863368509. The next prime is 145863368549.

It is a happy number.

145863368541 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 6 + 33 + 68 + 541 = 666.

145863368541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145863368541 - 2⁵ = 145863368509 is a prime.

It is a super-2 number, since 2×145863368541² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145863368549) 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, 8459016 + ... + 8476241.

It is an arithmetic number, because the mean of its divisors is an integer number (7620866100).

Almost surely, 2^145863368541 is an apocalyptic number.

145863368541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145863368541 is a deficient number, since it is larger than the sum of its proper divisors (98004346659).

145863368541 is a wasteful number, since it uses less digits than its factorization.

145863368541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16935306 (or 16935300 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 145863368541 in words is "one hundred forty-five billion, eight hundred sixty-three million, three hundred sixty-eight thousand, five hundred forty-one".