10114510765344 has 48 divisors (see below), whose sum is σ = 26813467920960. Its totient is φ = 3338122361600.

The previous prime is 10114510765339. The next prime is 10114510765357. The reversal of 10114510765344 is 44356701541101.

10114510765344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 10114510765296 and 10114510765305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 521571924 + ... + 521591315.

It is an arithmetic number, because the mean of its divisors is an integer number (558613915020).

Almost surely, 2^{10114510765344} is an apocalyptic number.

It is an amenable number.

10114510765344 is an abundant number, since it is smaller than the sum of its proper divisors (16698957155616).

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

10114510765344 is a wasteful number, since it uses less digits than its factorization.

10114510765344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043163353 (or 1043163345 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 10114510765344 in words is "ten trillion, one hundred fourteen billion, five hundred ten million, seven hundred sixty-five thousand, three hundred forty-four".