10414235132145 has 48 divisors (see below), whose sum is σ = 19640317084752. Its totient is φ = 5074152284160.

The previous prime is 10414235132141. The next prime is 10414235132167. The reversal of 10414235132145 is 54123153241401.

10414235132145 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 423 + 5 + 13 + 214 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2972862191601 + 7441372940544 = 1724199^2 + 2727888^2 .

It is not a de Polignac number, because 10414235132145 - 2² = 10414235132141 is a prime.

It is a super-2 number, since 2×10414235132145² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10414235132141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91706716 + ... + 91820205.

It is an arithmetic number, because the mean of its divisors is an integer number (409173272599).

Almost surely, 2^{10414235132145} is an apocalyptic number.

10414235132145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10414235132145 is a deficient number, since it is larger than the sum of its proper divisors (9226081952607).

10414235132145 is a wasteful number, since it uses less digits than its factorization.

10414235132145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183527042 (or 183527039 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 10414235132145 its reverse (54123153241401), we get a palindrome (64537388373546).

The spelling of 10414235132145 in words is "ten trillion, four hundred fourteen billion, two hundred thirty-five million, one hundred thirty-two thousand, one hundred forty-five".