54154533545145 has 64 divisors (see below), whose sum is σ = 106748728001280. Its totient is φ = 25826305075200.

The previous prime is 54154533545069. The next prime is 54154533545207.

54154533545145 is a `hidden beast` number, since 5 + 4 + 1 + 5 + 4 + 53 + 3 + 545 + 1 + 45 = 666.

54154533545145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54154533545145 - 2¹³ = 54154533536953 is a prime.

It is a super-6 number, since 6×54154533545145⁶ (a number of 84 digits) contains 666666 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54154533545091 and 54154533545100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 298824984 + ... + 299006153.

It is an arithmetic number, because the mean of its divisors is an integer number (1667948875020).

Almost surely, 2^{54154533545145} is an apocalyptic number.

54154533545145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54154533545145 is a deficient number, since it is larger than the sum of its proper divisors (52594194456135).

54154533545145 is a wasteful number, since it uses less digits than its factorization.

54154533545145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597831223 (or 597831217 counting only the distinct ones).

The product of its digits is 36000000, while the sum is 54.

The spelling of 54154533545145 in words is "fifty-four trillion, one hundred fifty-four billion, five hundred thirty-three million, five hundred forty-five thousand, one hundred forty-five".