114334313403420 has 864 divisors, whose sum is σ = 409947444204480. Its totient is φ = 25681433395200.

The previous prime is 114334313403413. The next prime is 114334313403467. The reversal of 114334313403420 is 24304313433411.

114334313403420 is a `hidden beast` number, since 1 + 1 + 4 + 334 + 313 + 4 + 0 + 3 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7678074175 + ... + 7678089065.

It is an arithmetic number, because the mean of its divisors is an integer number (474476208570).

Almost surely, 2^{114334313403420} is an apocalyptic number.

114334313403420 is a gapful number since it is divisible by the number (10) 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 114334313403420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204973722102240).

114334313403420 is an abundant number, since it is smaller than the sum of its proper divisors (295613130801060).

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

114334313403420 is a wasteful number, since it uses less digits than its factorization.

114334313403420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15267 (or 15251 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 114334313403420 its reverse (24304313433411), we get a palindrome (138638626836831).

The spelling of 114334313403420 in words is "one hundred fourteen trillion, three hundred thirty-four billion, three hundred thirteen million, four hundred three thousand, four hundred twenty".