214112510015661 has 40 divisors (see below), whose sum is σ = 338664756925440. Its totient is φ = 134343858794112.

The previous prime is 214112510015659. The next prime is 214112510015669. The reversal of 214112510015661 is 166510015211412.

214112510015661 is a `hidden beast` number, since 2 + 1 + 41 + 1 + 2 + 51 + 0 + 0 + 1 + 566 + 1 = 666.

It is not a de Polignac number, because 214112510015661 - 2¹ = 214112510015659 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214112510015669) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161034900 + ... + 162359058.

It is an arithmetic number, because the mean of its divisors is an integer number (8466618923136).

Almost surely, 2^{214112510015661} is an apocalyptic number.

It is an amenable number.

214112510015661 is a deficient number, since it is larger than the sum of its proper divisors (124552246909779).

214112510015661 is a wasteful number, since it uses less digits than its factorization.

214112510015661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441615 (or 1441606 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 214112510015661 in words is "two hundred fourteen trillion, one hundred twelve billion, five hundred ten million, fifteen thousand, six hundred sixty-one".