214429977216 has 768 divisors, whose sum is σ = 798006384000. Its totient is φ = 56184274944.

The previous prime is 214429977191. The next prime is 214429977239. The reversal of 214429977216 is 612779924412.

214429977216 is a `hidden beast` number, since 21 + 442 + 99 + 77 + 21 + 6 = 666.

It is a super-2 number, since 2×214429977216² (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 565778115 + ... + 565778493.

Almost surely, 2^214429977216 is an apocalyptic number.

214429977216 is a gapful number since it is divisible by the number (26) 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 214429977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399003192000).

214429977216 is an abundant number, since it is smaller than the sum of its proper divisors (583576406784).

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

214429977216 is a wasteful number, since it uses less digits than its factorization.

214429977216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 661 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 214429977216 in words is "two hundred fourteen billion, four hundred twenty-nine million, nine hundred seventy-seven thousand, two hundred sixteen".