214233157173672 has 768 divisors, whose sum is σ = 745061654937600. Its totient is φ = 54086143426560.

The previous prime is 214233157173641. The next prime is 214233157173731. The reversal of 214233157173672 is 276371751332412.

214233157173672 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 3 + 3 + 1 + 571 + 7 + 3 + 67 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58903808238 + ... + 58903811874.

It is an arithmetic number, because the mean of its divisors is an integer number (970132363200).

Almost surely, 2^{214233157173672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214233157173672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372530827468800).

214233157173672 is an abundant number, since it is smaller than the sum of its proper divisors (530828497763928).

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

214233157173672 is a wasteful number, since it uses less digits than its factorization.

214233157173672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6266 (or 6259 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The spelling of 214233157173672 in words is "two hundred fourteen trillion, two hundred thirty-three billion, one hundred fifty-seven million, one hundred seventy-three thousand, six hundred seventy-two".