214704483840 has 2400 divisors, whose sum is σ = 1042427146464. Its totient is φ = 41617981440.

The previous prime is 214704483809. The next prime is 214704483871. The reversal of 214704483840 is 48384407412.

214704483840 is a `hidden beast` number, since 21 + 4 + 70 + 4 + 483 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (214704483809) and next prime (214704483871).

It is a super-2 number, since 2×214704483840² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1900039624 + ... + 1900039736.

Almost surely, 2^214704483840 is an apocalyptic number.

214704483840 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 214704483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521213573232).

214704483840 is an abundant number, since it is smaller than the sum of its proper divisors (827722662624).

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

214704483840 is a wasteful number, since it uses less digits than its factorization.

214704483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 214704483840 in words is "two hundred fourteen billion, seven hundred four million, four hundred eighty-three thousand, eight hundred forty".