214831450096704 has 672 divisors, whose sum is σ = 738585371289600. Its totient is φ = 61054249374720.

The previous prime is 214831450096699. The next prime is 214831450096723. The reversal of 214831450096704 is 407690054138412.

214831450096704 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 31 + 450 + 0 + 96 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 59296561837 + ... + 59296565459.

It is a 1-persistent number, because it is pandigital, but 2⋅214831450096704 = 429662900193408 is not.

Almost surely, 2^{214831450096704} is an apocalyptic number.

214831450096704 is a gapful number since it is divisible by the number (24) 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 214831450096704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369292685644800).

214831450096704 is an abundant number, since it is smaller than the sum of its proper divisors (523753921192896).

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

214831450096704 is a wasteful number, since it uses less digits than its factorization.

214831450096704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7188 (or 7165 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 214831450096704 in words is "two hundred fourteen trillion, eight hundred thirty-one billion, four hundred fifty million, ninety-six thousand, seven hundred four".