234114305654320 has 320 divisors, whose sum is σ = 682547530662144. Its totient is φ = 72710494617600.

The previous prime is 234114305654287. The next prime is 234114305654441. The reversal of 234114305654320 is 23456503411432.

It is a super-2 number, since 2×234114305654320² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81677784 + ... + 84495496.

Almost surely, 2^{234114305654320} is an apocalyptic number.

234114305654320 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 234114305654320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341273765331072).

234114305654320 is an abundant number, since it is smaller than the sum of its proper divisors (448433225007824).

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

234114305654320 is a wasteful number, since it uses less digits than its factorization.

234114305654320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817960 (or 2817954 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 43.

The spelling of 234114305654320 in words is "two hundred thirty-four trillion, one hundred fourteen billion, three hundred five million, six hundred fifty-four thousand, three hundred twenty".