214460683800 has 384 divisors, whose sum is σ = 736945689600. Its totient is φ = 51158016000.

The previous prime is 214460683793. The next prime is 214460683823. The reversal of 214460683800 is 8386064412.

It is a Cunningham number, because it is equal to 463099²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219508912 + ... + 219509888.

It is an arithmetic number, because the mean of its divisors is an integer number (1919129400).

Almost surely, 2^214460683800 is an apocalyptic number.

214460683800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214460683800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368472844800).

214460683800 is an abundant number, since it is smaller than the sum of its proper divisors (522485005800).

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

214460683800 is a wasteful number, since it uses less digits than its factorization.

With its successor (214460683801) it forms an eRAP, since the sums of their prime factors are consecutive (1507 and 1508).

214460683800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 214460683800 in words is "two hundred fourteen billion, four hundred sixty million, six hundred eighty-three thousand, eight hundred".