214096296960 has 2112 divisors, whose sum is σ = 993413750784. Its totient is φ = 42998169600.

The previous prime is 214096296913. The next prime is 214096296971. The reversal of 214096296960 is 69692690412.

It is a happy number.

214096296960 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 9 + 629 + 6 + 9 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 214096296897 and 214096296906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3509775330 + ... + 3509775390.

Almost surely, 2^214096296960 is an apocalyptic number.

214096296960 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 214096296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496706875392).

214096296960 is an abundant number, since it is smaller than the sum of its proper divisors (779317453824).

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

214096296960 is a wasteful number, since it uses less digits than its factorization.

214096296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 214096296960 in words is "two hundred fourteen billion, ninety-six million, two hundred ninety-six thousand, nine hundred sixty".