214932248832 has 288 divisors, whose sum is σ = 689876490240. Its totient is φ = 58076282880.

The previous prime is 214932248827. The next prime is 214932248933. The reversal of 214932248832 is 238842239412.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10994907 + ... + 11014437.

It is an arithmetic number, because the mean of its divisors is an integer number (2395404480).

Almost surely, 2^214932248832 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 214932248832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344938245120).

214932248832 is an abundant number, since it is smaller than the sum of its proper divisors (474944241408).

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

214932248832 is a wasteful number, since it uses less digits than its factorization.

214932248832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19669 (or 19655 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 214932248832 in words is "two hundred fourteen billion, nine hundred thirty-two million, two hundred forty-eight thousand, eight hundred thirty-two".