23214523214400 has 168 divisors, whose sum is σ = 87043407645120. Its totient is φ = 5306176727040.

The previous prime is 23214523214299. The next prime is 23214523214429. The reversal of 23214523214400 is 441232541232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345420615 + ... + 345487814.

Almost surely, 2^{23214523214400} is an apocalyptic number.

23214523214400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23214523214400 is an abundant number, since it is smaller than the sum of its proper divisors (63828884430720).

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

23214523214400 is a wasteful number, since it uses less digits than its factorization.

23214523214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690908461 (or 690908446 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 23214523214400 its reverse (441232541232), we get a palindrome (23655755755632).

The spelling of 23214523214400 in words is "twenty-three trillion, two hundred fourteen billion, five hundred twenty-three million, two hundred fourteen thousand, four hundred".