214213812480 has 216 divisors, whose sum is σ = 745602242112. Its totient is φ = 56781115392.

The previous prime is 214213812469. The next prime is 214213812497. The reversal of 214213812480 is 84218312412.

214213812480 is a `hidden beast` number, since 2 + 1 + 42 + 138 + 1 + 2 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1868167 + ... + 1979513.

It is an arithmetic number, because the mean of its divisors is an integer number (3451862232).

Almost surely, 2^214213812480 is an apocalyptic number.

214213812480 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 214213812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372801121056).

214213812480 is an abundant number, since it is smaller than the sum of its proper divisors (531388429632).

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

214213812480 is a wasteful number, since it uses less digits than its factorization.

214213812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111541 (or 111524 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 214213812480 in words is "two hundred fourteen billion, two hundred thirteen million, eight hundred twelve thousand, four hundred eighty".