114013013204520 has 256 divisors, whose sum is σ = 402884326656000. Its totient is φ = 28580509421568.

The previous prime is 114013013204471. The next prime is 114013013204539. The reversal of 114013013204520 is 25402310310411.

114013013204520 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 1 + 3 + 0 + 132 + 0 + 4 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 11475049 + ... + 18965831.

It is an arithmetic number, because the mean of its divisors is an integer number (1573766901000).

Almost surely, 2^{114013013204520} is an apocalyptic number.

114013013204520 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 114013013204520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201442163328000).

114013013204520 is an abundant number, since it is smaller than the sum of its proper divisors (288871313451480).

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

114013013204520 is a wasteful number, since it uses less digits than its factorization.

114013013204520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7491649 (or 7491639 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 114013013204520 its reverse (25402310310411), we get a palindrome (139415323514931).

The spelling of 114013013204520 in words is "one hundred fourteen trillion, thirteen billion, thirteen million, two hundred four thousand, five hundred twenty".