214334780841552 has 240 divisors, whose sum is σ = 649280330452800. Its totient is φ = 60747454494720.

The previous prime is 214334780841529. The next prime is 214334780841563. The reversal of 214334780841552 is 255148087433412.

It is a super-2 number, since 2×214334780841552² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214334780841492 and 214334780841501.

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, 171569902 + ... + 172814642.

It is an arithmetic number, because the mean of its divisors is an integer number (2705334710220).

Almost surely, 2^{214334780841552} 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 214334780841552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324640165226400).

214334780841552 is an abundant number, since it is smaller than the sum of its proper divisors (434945549611248).

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

214334780841552 is a wasteful number, since it uses less digits than its factorization.

214334780841552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245354 (or 1245341 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 57.

The spelling of 214334780841552 in words is "two hundred fourteen trillion, three hundred thirty-four billion, seven hundred eighty million, eight hundred forty-one thousand, five hundred fifty-two".