214992703434432 has 896 divisors, whose sum is σ = 737213140426752. Its totient is φ = 53676667699200.

The previous prime is 214992703434419. The next prime is 214992703434449. The reversal of 214992703434432 is 234434307299412.

214992703434432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16266370288 + ... + 16266383504.

Almost surely, 2^{214992703434432} is an apocalyptic number.

214992703434432 is a gapful number since it is divisible by the number (22) 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 214992703434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368606570213376).

214992703434432 is an abundant number, since it is smaller than the sum of its proper divisors (522220436992320).

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

214992703434432 is a wasteful number, since it uses less digits than its factorization.

214992703434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13645 (or 13635 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 57.

The spelling of 214992703434432 in words is "two hundred fourteen trillion, nine hundred ninety-two billion, seven hundred three million, four hundred thirty-four thousand, four hundred thirty-two".