214503695952 has 480 divisors, whose sum is σ = 742828705920. Its totient is φ = 52707594240.

The previous prime is 214503695951. The next prime is 214503695963. The reversal of 214503695952 is 259596305412.

It is a super-2 number, since 2×214503695952² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214503695895 and 214503695904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214503695951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35434558 + ... + 35440610.

It is an arithmetic number, because the mean of its divisors is an integer number (1547559804).

Almost surely, 2^214503695952 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 214503695952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371414352960).

214503695952 is an abundant number, since it is smaller than the sum of its proper divisors (528325009968).

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

214503695952 is a wasteful number, since it uses less digits than its factorization.

214503695952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6171 (or 6158 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 51.

The spelling of 214503695952 in words is "two hundred fourteen billion, five hundred three million, six hundred ninety-five thousand, nine hundred fifty-two".