10114254008544 has 96 divisors (see below), whose sum is σ = 30346030584576. Its totient is φ = 2889475568640.

The previous prime is 10114254008513. The next prime is 10114254008549. The reversal of 10114254008544 is 44580045241101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×10114254008544³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114254008549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5468479 + ... + 7080449.

It is an arithmetic number, because the mean of its divisors is an integer number (316104485256).

Almost surely, 2^{10114254008544} is an apocalyptic number.

10114254008544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10114254008544 is an abundant number, since it is smaller than the sum of its proper divisors (20231776576032).

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

10114254008544 is a wasteful number, since it uses less digits than its factorization.

10114254008544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621328 (or 1621320 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 39.

Adding to 10114254008544 its reverse (44580045241101), we get a palindrome (54694299249645).

The spelling of 10114254008544 in words is "ten trillion, one hundred fourteen billion, two hundred fifty-four million, eight thousand, five hundred forty-four".