10014465310096 has 135 divisors (see below), whose sum is σ = 22181312869569. Its totient is φ = 4377427456896.

The previous prime is 10014465310081. The next prime is 10014465310103. The reversal of 10014465310096 is 69001356441001.

The square root of 10014465310096 is 3164564.

It is a perfect power (a square), and thus also a powerful number.

10014465310096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1481429779600 + 8533035530496 = 1217140^2 + 2921136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3126587631 + ... + 3126590833.

Almost surely, 2^{10014465310096} is an apocalyptic number.

10014465310096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10014465310096 is the 3164564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10014465310096

10014465310096 is an abundant number, since it is smaller than the sum of its proper divisors (12166847559473).

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

10014465310096 is an frugal number, since it uses more digits than its factorization.

10014465310096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6478 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 10014465310096 in words is "ten trillion, fourteen billion, four hundred sixty-five million, three hundred ten thousand, ninety-six".