214358881000000 has 441 divisors, whose sum is σ = 584874069434053. Its totient is φ = 77948684000000.

The previous prime is 214358880999997. The next prime is 214358881000039. The reversal of 214358881000000 is 188853412.

The square root of 214358881000000 is 14641000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 187798958208576 + 26559922791424 = 13703976^2 + 5153632^2 .

It is a super-2 number, since 2×214358881000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 19487170999995 + ... + 19487171000005.

Almost surely, 2^{214358881000000} is an apocalyptic number.

214358881000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

214358881000000 is the 14641000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214358881000000

214358881000000 is an abundant number, since it is smaller than the sum of its proper divisors (370515188434053).

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

214358881000000 is an frugal number, since it uses more digits than its factorization.

214358881000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 214358881000000 in words is "two hundred fourteen trillion, three hundred fifty-eight billion, eight hundred eighty-one million", and thus it is an aban number.