214123148513280 has 624 divisors, whose sum is σ = 759965490947520. Its totient is φ = 55734751199232.

The previous prime is 214123148513249. The next prime is 214123148513311. The reversal of 214123148513280 is 82315841321412.

It is a happy number.

214123148513280 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 2 + 31 + 485 + 132 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (214123148513249) and next prime (214123148513311).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13228085347 + ... + 13228101533.

It is an arithmetic number, because the mean of its divisors is an integer number (1217893414980).

Almost surely, 2^{214123148513280} is an apocalyptic number.

214123148513280 is a gapful number since it is divisible by the number (20) 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 214123148513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379982745473760).

214123148513280 is an abundant number, since it is smaller than the sum of its proper divisors (545842342434240).

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

214123148513280 is a wasteful number, since it uses less digits than its factorization.

214123148513280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17934 (or 17909 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

Adding to 214123148513280 its reverse (82315841321412), we get a palindrome (296438989834692).

The spelling of 214123148513280 in words is "two hundred fourteen trillion, one hundred twenty-three billion, one hundred forty-eight million, five hundred thirteen thousand, two hundred eighty".