10144893288541 has 16 divisors (see below), whose sum is σ = 11481569280000. Its totient is φ = 8880276121200.

The previous prime is 10144893288521. The next prime is 10144893288559. The reversal of 10144893288541 is 14588239844101.

It is a happy number.

It is not a de Polignac number, because 10144893288541 - 2¹³ = 10144893280349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144893288521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74681941 + ... + 74817658.

It is an arithmetic number, because the mean of its divisors is an integer number (717598080000).

Almost surely, 2^{10144893288541} is an apocalyptic number.

10144893288541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10144893288541 is a deficient number, since it is larger than the sum of its proper divisors (1336675991459).

10144893288541 is a wasteful number, since it uses less digits than its factorization.

10144893288541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149499840.

The product of its (nonzero) digits is 8847360, while the sum is 58.

The spelling of 10144893288541 in words is "ten trillion, one hundred forty-four billion, eight hundred ninety-three million, two hundred eighty-eight thousand, five hundred forty-one".