214883828360640 has 336 divisors, whose sum is σ = 747670849323840. Its totient is φ = 56639146967040.

The previous prime is 214883828360639. The next prime is 214883828360671. The reversal of 214883828360640 is 46063828388412.

214883828360640 is a `hidden beast` number, since 2 + 1 + 4 + 88 + 382 + 83 + 60 + 6 + 40 = 666.

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, 757796485 + ... + 758079995.

Almost surely, 2^{214883828360640} is an apocalyptic number.

214883828360640 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 214883828360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373835424661920).

214883828360640 is an abundant number, since it is smaller than the sum of its proper divisors (532787020963200).

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

214883828360640 is a wasteful number, since it uses less digits than its factorization.

214883828360640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286580 (or 286567 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 214883828360640 in words is "two hundred fourteen trillion, eight hundred eighty-three billion, eight hundred twenty-eight million, three hundred sixty thousand, six hundred forty".