145415464514541 has 24 divisors (see below), whose sum is σ = 233276616322560. Its totient is φ = 89486439698448.

The previous prime is 145415464514533. The next prime is 145415464514603.

It is a happy number.

145415464514541 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 1 + 5 + 46 + 4 + 51 + 4 + 541 = 666.

145415464514541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145415464514541 - 2³ = 145415464514533 is a prime.

It is a super-2 number, since 2×145415464514541² (a number of 29 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 (145415464514521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15934190541 + ... + 15934199666.

It is an arithmetic number, because the mean of its divisors is an integer number (9719859013440).

Almost surely, 2^{145415464514541} is an apocalyptic number.

It is an amenable number.

145415464514541 is a deficient number, since it is larger than the sum of its proper divisors (87861151808019).

145415464514541 is a wasteful number, since it uses less digits than its factorization.

145415464514541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31868390242 (or 31868390223 counting only the distinct ones).

The product of its digits is 15360000, while the sum is 54.

The spelling of 145415464514541 in words is "one hundred forty-five trillion, four hundred fifteen billion, four hundred sixty-four million, five hundred fourteen thousand, five hundred forty-one".