214369076915676 has 144 divisors (see below), whose sum is σ = 568326856825728. Its totient is φ = 68072148144000.

The previous prime is 214369076915603. The next prime is 214369076915713. The reversal of 214369076915676 is 676519670963412.

214369076915676 is a `hidden beast` number, since 2 + 1 + 436 + 9 + 0 + 76 + 9 + 1 + 56 + 76 = 666.

It is a super-2 number, since 2×214369076915676² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243211 + ... + 20707421.

It is an arithmetic number, because the mean of its divisors is an integer number (3946714283512).

Almost surely, 2^{214369076915676} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214369076915676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284163428412864).

214369076915676 is an abundant number, since it is smaller than the sum of its proper divisors (353957779910052).

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

214369076915676 is a wasteful number, since it uses less digits than its factorization.

214369076915676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20464432 (or 20464427 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 214369076915676 in words is "two hundred fourteen trillion, three hundred sixty-nine billion, seventy-six million, nine hundred fifteen thousand, six hundred seventy-six".