10114523553480 has 256 divisors, whose sum is σ = 32363839872000. Its totient is φ = 2521462182912.

The previous prime is 10114523553413. The next prime is 10114523553481. The reversal of 10114523553480 is 8435532541101.

10114523553480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10114523553480² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10114523553481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161390391 + ... + 161453049.

It is an arithmetic number, because the mean of its divisors is an integer number (126421249500).

Almost surely, 2^{10114523553480} is an apocalyptic number.

10114523553480 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 10114523553480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16181919936000).

10114523553480 is an abundant number, since it is smaller than the sum of its proper divisors (22249316318520).

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

10114523553480 is a wasteful number, since it uses less digits than its factorization.

10114523553480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63628 (or 63624 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 10114523553480 in words is "ten trillion, one hundred fourteen billion, five hundred twenty-three million, five hundred fifty-three thousand, four hundred eighty".