145405415001 has 96 divisors (see below), whose sum is σ = 259305822720. Its totient is φ = 71469216000.

The previous prime is 145405414991. The next prime is 145405415059. The reversal of 145405415001 is 100514504541.

It is not a de Polignac number, because 145405415001 - 2⁶ = 145405414937 is a prime.

It is a super-3 number, since 3×145405415001³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 145405415001.

It is not an unprimeable number, because it can be changed into a prime (145405414001) 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, 28784926 + ... + 28789976.

It is an arithmetic number, because the mean of its divisors is an integer number (2701102320).

Almost surely, 2^145405415001 is an apocalyptic number.

145405415001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145405415001 is a deficient number, since it is larger than the sum of its proper divisors (113900407719).

145405415001 is a wasteful number, since it uses less digits than its factorization.

145405415001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6035 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 145405415001 its reverse (100514504541), we get a palindrome (245919919542).

The spelling of 145405415001 in words is "one hundred forty-five billion, four hundred five million, four hundred fifteen thousand, one".