214908512742 has 128 divisors (see below), whose sum is σ = 597684510720. Its totient is φ = 55607865120.

The previous prime is 214908512719. The next prime is 214908512743. The reversal of 214908512742 is 247215809412.

214908512742 is a `hidden beast` number, since 2 + 1 + 4 + 90 + 8 + 512 + 7 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214908512743) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 995293 + ... + 1191815.

It is an arithmetic number, because the mean of its divisors is an integer number (4669410240).

Almost surely, 2^214908512742 is an apocalyptic number.

214908512742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 214908512742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298842255360).

214908512742 is an abundant number, since it is smaller than the sum of its proper divisors (382775997978).

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

214908512742 is a wasteful number, since it uses less digits than its factorization.

214908512742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196815 (or 196809 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 214908512742 in words is "two hundred fourteen billion, nine hundred eight million, five hundred twelve thousand, seven hundred forty-two".