10002014457444 has 18 divisors (see below), whose sum is σ = 25282869878630. Its totient is φ = 3334004819136.

The previous prime is 10002014457397. The next prime is 10002014457493. The reversal of 10002014457444 is 44475441020001.

10002014457444 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 0 + 1 + 44 + 574 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9773826721344 + 228187736100 = 3126312^2 + 477690^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 277833734929 = 10002014457444 / (1 + 0 + 0 + 0 + 2 + 0 + 1 + 4 + 4 + 5 + 7 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 10002014457399 and 10002014457408.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 138916867429 + ... + 138916867500.

Almost surely, 2^{10002014457444} is an apocalyptic number.

It is an amenable number.

10002014457444 is an abundant number, since it is smaller than the sum of its proper divisors (15280855421186).

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

10002014457444 is a wasteful number, since it uses less digits than its factorization.

10002014457444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277833734939 (or 277833734934 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

Adding to 10002014457444 its reverse (44475441020001), we get a palindrome (54477455477445).

The spelling of 10002014457444 in words is "ten trillion, two billion, fourteen million, four hundred fifty-seven thousand, four hundred forty-four".