214435461632 has 160 divisors (see below), whose sum is σ = 518161121280. Its totient is φ = 86602936320.

The previous prime is 214435461593. The next prime is 214435461649. The reversal of 214435461632 is 236164534412.

It is a self number, because there is not a number n which added to its sum of digits gives 214435461632.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12998093 + ... + 13014579.

It is an arithmetic number, because the mean of its divisors is an integer number (3238507008).

Almost surely, 2^214435461632 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 214435461632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259080560640).

214435461632 is an abundant number, since it is smaller than the sum of its proper divisors (303725659648).

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

214435461632 is a wasteful number, since it uses less digits than its factorization.

214435461632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16722 (or 16706 counting only the distinct ones).

The product of its digits is 414720, while the sum is 41.

The spelling of 214435461632 in words is "two hundred fourteen billion, four hundred thirty-five million, four hundred sixty-one thousand, six hundred thirty-two".