214264461224352 has 384 divisors, whose sum is σ = 709094808576000. Its totient is φ = 55030284288000.

The previous prime is 214264461224327. The next prime is 214264461224353. The reversal of 214264461224352 is 253422164462412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (214264461224353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 573942649 + ... + 574315847.

It is an arithmetic number, because the mean of its divisors is an integer number (1846601064000).

Almost surely, 2^{214264461224352} is an apocalyptic number.

214264461224352 is a gapful number since it is divisible by the number (22) 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 214264461224352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354547404288000).

214264461224352 is an abundant number, since it is smaller than the sum of its proper divisors (494830347351648).

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

214264461224352 is a wasteful number, since it uses less digits than its factorization.

214264461224352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374100 (or 374092 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 48.

The spelling of 214264461224352 in words is "two hundred fourteen trillion, two hundred sixty-four billion, four hundred sixty-one million, two hundred twenty-four thousand, three hundred fifty-two".