214161948 has 288 divisors, whose sum is σ = 761483520. Its totient is φ = 51166080.

The previous prime is 214161943. The next prime is 214161979. The reversal of 214161948 is 849161412.

214161948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214161943) 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, 756615 + ... + 756897.

It is an arithmetic number, because the mean of its divisors is an integer number (2644040).

Almost surely, 2^214161948 is an apocalyptic number.

214161948 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214161948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380741760).

214161948 is an abundant number, since it is smaller than the sum of its proper divisors (547321572).

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

214161948 is a wasteful number, since it uses less digits than its factorization.

214161948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 319 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 214161948 is about 14634.2730601831. The cubic root of 214161948 is about 598.2932496086.

The spelling of 214161948 in words is "two hundred fourteen million, one hundred sixty-one thousand, nine hundred forty-eight".