214472261749800 has 192 divisors, whose sum is σ = 666933496738560. Its totient is φ = 57014673408000.

The previous prime is 214472261749751. The next prime is 214472261749859. The reversal of 214472261749800 is 8947162274412.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 768906360 + ... + 769185240.

It is an arithmetic number, because the mean of its divisors is an integer number (3473611962180).

Almost surely, 2^{214472261749800} is an apocalyptic number.

214472261749800 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 214472261749800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333466748369280).

214472261749800 is an abundant number, since it is smaller than the sum of its proper divisors (452461234988760).

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

214472261749800 is a wasteful number, since it uses less digits than its factorization.

214472261749800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282884 (or 282875 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 214472261749800 in words is "two hundred fourteen trillion, four hundred seventy-two billion, two hundred sixty-one million, seven hundred forty-nine thousand, eight hundred".