214641617652 has 72 divisors (see below), whose sum is σ = 676446318912. Its totient is φ = 55751068800.

The previous prime is 214641617651. The next prime is 214641617657. The reversal of 214641617652 is 256716146412.

214641617652 is a `hidden beast` number, since 2 + 1 + 464 + 16 + 176 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 214641617598 and 214641617607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214641617651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38713249 + ... + 38718792.

Almost surely, 2^214641617652 is an apocalyptic number.

214641617652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214641617652 is an abundant number, since it is smaller than the sum of its proper divisors (461804701260).

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

214641617652 is a wasteful number, since it uses less digits than its factorization.

214641617652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77432069 (or 77432064 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 214641617652 in words is "two hundred fourteen billion, six hundred forty-one million, six hundred seventeen thousand, six hundred fifty-two".