214980360480 has 144 divisors (see below), whose sum is σ = 734140887480. Its totient is φ = 57287430144.

The previous prime is 214980360467. The next prime is 214980360487. The reversal of 214980360480 is 84063089412.

It is a happy number.

214980360480 is a `hidden beast` number, since 21 + 4 + 98 + 0 + 3 + 60 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 186945546384 + 28034814096 = 432372^2 + 167436^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×214980360480² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (214980360487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2005524 + ... + 2109996.

Almost surely, 2^214980360480 is an apocalyptic number.

214980360480 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 214980360480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367070443740).

214980360480 is an abundant number, since it is smaller than the sum of its proper divisors (519160527000).

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

214980360480 is a wasteful number, since it uses less digits than its factorization.

214980360480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105923 (or 105912 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 214980360480 in words is "two hundred fourteen billion, nine hundred eighty million, three hundred sixty thousand, four hundred eighty".