114620314004520 has 256 divisors, whose sum is σ = 362933524800000. Its totient is φ = 28900774526976.

The previous prime is 114620314004489. The next prime is 114620314004587. The reversal of 114620314004520 is 25400413026411.

It is a happy number.

It is a super-3 number, since 3×114620314004520³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

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, 1021069356 + ... + 1021181604.

It is an arithmetic number, because the mean of its divisors is an integer number (1417709081250).

Almost surely, 2^{114620314004520} is an apocalyptic number.

114620314004520 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 114620314004520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181466762400000).

114620314004520 is an abundant number, since it is smaller than the sum of its proper divisors (248313210795480).

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

114620314004520 is a wasteful number, since it uses less digits than its factorization.

114620314004520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116532 (or 116528 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 114620314004520 in words is "one hundred fourteen trillion, six hundred twenty billion, three hundred fourteen million, four thousand, five hundred twenty".