13861754748153 has 48 divisors (see below), whose sum is σ = 21633263507856. Its totient is φ = 8502440140800.

The previous prime is 13861754748119. The next prime is 13861754748181. The reversal of 13861754748153 is 35184745716831.

It is a happy number.

13861754748153 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 1 + 7 + 5 + 474 + 8 + 153 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1752941576169 + 12108813171984 = 1323987^2 + 3479772^2 .

It is not a de Polignac number, because 13861754748153 - 2¹⁰ = 13861754747129 is a prime.

It is a super-2 number, since 2×13861754748153² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13861754740153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60737451 + ... + 60965247.

It is an arithmetic number, because the mean of its divisors is an integer number (450692989747).

Almost surely, 2^{13861754748153} is an apocalyptic number.

13861754748153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13861754748153 is a deficient number, since it is larger than the sum of its proper divisors (7771508759703).

13861754748153 is a wasteful number, since it uses less digits than its factorization.

13861754748153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229514 (or 229511 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 13861754748153 in words is "thirteen trillion, eight hundred sixty-one billion, seven hundred fifty-four million, seven hundred forty-eight thousand, one hundred fifty-three".