145332363233541 has 96 divisors (see below), whose sum is σ = 215574375744000. Its totient is φ = 87017217408000.

The previous prime is 145332363233537. The next prime is 145332363233549.

145332363233541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145332363233541 - 2² = 145332363233537 is a prime.

It is a super-2 number, since 2×145332363233541² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145332363233549) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39959405175 + ... + 39959408811.

It is an arithmetic number, because the mean of its divisors is an integer number (2245566414000).

Almost surely, 2^{145332363233541} is an apocalyptic number.

145332363233541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145332363233541 is a deficient number, since it is larger than the sum of its proper divisors (70242012510459).

145332363233541 is a wasteful number, since it uses less digits than its factorization.

145332363233541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5851 (or 5840 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 48.

The spelling of 145332363233541 in words is "one hundred forty-five trillion, three hundred thirty-two billion, three hundred sixty-three million, two hundred thirty-three thousand, five hundred forty-one".