54013405104144 has 60 divisors (see below), whose sum is σ = 151794994915200. Its totient is φ = 17929135852992.

The previous prime is 54013405104119. The next prime is 54013405104161. The reversal of 54013405104144 is 44140150431045.

54013405104144 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 3 + 405 + 104 + 144 = 666.

It is a super-2 number, since 2×54013405104144² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54013405104099 and 54013405104108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 784679164 + ... + 784747995.

It is an arithmetic number, because the mean of its divisors is an integer number (2529916581920).

Almost surely, 2^{54013405104144} is an apocalyptic number.

It is an amenable number.

54013405104144 is an abundant number, since it is smaller than the sum of its proper divisors (97781589811056).

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

54013405104144 is a wasteful number, since it uses less digits than its factorization.

54013405104144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569427412 (or 1569427403 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 54013405104144 its reverse (44140150431045), we get a palindrome (98153555535189).

The spelling of 54013405104144 in words is "fifty-four trillion, thirteen billion, four hundred five million, one hundred four thousand, one hundred forty-four".