10145216331234 has 48 divisors (see below), whose sum is σ = 22451389833600. Its totient is φ = 3309432968160.

The previous prime is 10145216331227. The next prime is 10145216331241. The reversal of 10145216331234 is 43213361254101.

10145216331234 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 2 + 1 + 633 + 12 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10145216331227) and next prime (10145216331241).

It is an unprimeable number.

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, 7333717 + ... + 8606615.

It is an arithmetic number, because the mean of its divisors is an integer number (467737288200).

Almost surely, 2^{10145216331234} is an apocalyptic number.

10145216331234 is an abundant number, since it is smaller than the sum of its proper divisors (12306173502366).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10145216331234 is a wasteful number, since it uses less digits than its factorization.

10145216331234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282375 (or 1282372 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 10145216331234 its reverse (43213361254101), we get a palindrome (53358577585335).

The spelling of 10145216331234 in words is "ten trillion, one hundred forty-five billion, two hundred sixteen million, three hundred thirty-one thousand, two hundred thirty-four".