214356709632 has 144 divisors (see below), whose sum is σ = 627459598080. Its totient is φ = 64552452096.

The previous prime is 214356709631. The next prime is 214356709657. The reversal of 214356709632 is 236907653412.

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

It is not an unprimeable number, because it can be changed into a prime (214356709631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240844 + ... + 697652.

It is an arithmetic number, because the mean of its divisors is an integer number (4357358320).

Almost surely, 2^214356709632 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 214356709632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313729799040).

214356709632 is an abundant number, since it is smaller than the sum of its proper divisors (413102888448).

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

214356709632 is a wasteful number, since it uses less digits than its factorization.

214356709632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456888 (or 456874 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 214356709632 in words is "two hundred fourteen billion, three hundred fifty-six million, seven hundred nine thousand, six hundred thirty-two".