214311993480 has 768 divisors, whose sum is σ = 834049681920. Its totient is φ = 49071661056.

The previous prime is 214311993479. The next prime is 214311993487. The reversal of 214311993480 is 84399113412.

214311993480 is a `hidden beast` number, since 21 + 431 + 1 + 99 + 34 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (214311993487) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107531364 + ... + 107533356.

It is an arithmetic number, because the mean of its divisors is an integer number (1086002190).

Almost surely, 2^214311993480 is an apocalyptic number.

214311993480 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 214311993480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417024840960).

214311993480 is an abundant number, since it is smaller than the sum of its proper divisors (619737688440).

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

214311993480 is a wasteful number, since it uses less digits than its factorization.

214311993480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 214311993480 in words is "two hundred fourteen billion, three hundred eleven million, nine hundred ninety-three thousand, four hundred eighty".