214111209876480 has 880 divisors, whose sum is σ = 885057412859136. Its totient is φ = 48482254356480.

The previous prime is 214111209876467. The next prime is 214111209876491. The reversal of 214111209876480 is 84678902111412.

It is a happy number.

214111209876480 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 1 + 1 + 2 + 0 + 98 + 76 + 480 = 666.

It is a super-2 number, since 2×214111209876480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 310280635 + ... + 310969925.

Almost surely, 2^{214111209876480} is an apocalyptic number.

214111209876480 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 214111209876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442528706429568).

214111209876480 is an abundant number, since it is smaller than the sum of its proper divisors (670946202982656).

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

214111209876480 is a wasteful number, since it uses less digits than its factorization.

214111209876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689442 (or 689415 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 214111209876480 in words is "two hundred fourteen trillion, one hundred eleven billion, two hundred nine million, eight hundred seventy-six thousand, four hundred eighty".