54164046145 has 24 divisors (see below), whose sum is σ = 73747457280. Its totient is φ = 38121309600.

The previous prime is 54164046109. The next prime is 54164046161.

It is a happy number.

54164046145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54164046145 - 2¹⁷ = 54163915073 is a prime.

It is a super-2 number, since 2×54164046145² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54164046098 and 54164046107.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1425235 + ... + 1462744.

It is an arithmetic number, because the mean of its divisors is an integer number (3072810720).

Almost surely, 2^54164046145 is an apocalyptic number.

54164046145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54164046145 is a deficient number, since it is larger than the sum of its proper divisors (19583411135).

54164046145 is a wasteful number, since it uses less digits than its factorization.

54164046145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888037 (or 2888026 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

It can be divided in two parts, 541640 and 46145, that added together give a palindrome (587785).

The spelling of 54164046145 in words is "fifty-four billion, one hundred sixty-four million, forty-six thousand, one hundred forty-five".