114015103304520 has 256 divisors, whose sum is σ = 373406462956800. Its totient is φ = 27620321034240.

The previous prime is 114015103304477. The next prime is 114015103304567. The reversal of 114015103304520 is 25403301510411.

114015103304520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 16933771074 + ... + 16933777806.

It is an arithmetic number, because the mean of its divisors is an integer number (1458618995925).

Almost surely, 2^{114015103304520} is an apocalyptic number.

114015103304520 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 114015103304520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186703231478400).

114015103304520 is an abundant number, since it is smaller than the sum of its proper divisors (259391359652280).

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

114015103304520 is a wasteful number, since it uses less digits than its factorization.

114015103304520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14000 (or 13996 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 114015103304520 its reverse (25403301510411), we get a palindrome (139418404814931).

The spelling of 114015103304520 in words is "one hundred fourteen trillion, fifteen billion, one hundred three million, three hundred four thousand, five hundred twenty".