234114452000000 has 504 divisors, whose sum is σ = 686258786400096. Its totient is φ = 78583680000000.

The previous prime is 234114451999979. The next prime is 234114452000029. The reversal of 234114452000000 is 254411432.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 571795355 + ... + 572204645.

Almost surely, 2^{234114452000000} is an apocalyptic number.

234114452000000 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 234114452000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343129393200048).

234114452000000 is an abundant number, since it is smaller than the sum of its proper divisors (452144334400096).

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

234114452000000 is an frugal number, since it uses more digits than its factorization.

234114452000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409361 (or 409322 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The spelling of 234114452000000 in words is "two hundred thirty-four trillion, one hundred fourteen billion, four hundred fifty-two million", and thus it is an aban number.