54535233253545 has 256 divisors, whose sum is σ = 114038621798400. Its totient is φ = 24466095360000.

The previous prime is 54535233253451. The next prime is 54535233253673.

It is a happy number.

54535233253545 is a `hidden beast` number, since 5 + 4 + 5 + 35 + 2 + 3 + 32 + 535 + 45 = 666.

54535233253545 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54535233253545 - 2¹² = 54535233249449 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 54535233253491 and 54535233253500.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 137308245 + ... + 137704845.

It is an arithmetic number, because the mean of its divisors is an integer number (445463366400).

Almost surely, 2^{54535233253545} is an apocalyptic number.

54535233253545 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54535233253545 is an abundant number, since it is smaller than the sum of its proper divisors (59503388544855).

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

54535233253545 is a wasteful number, since it uses less digits than its factorization.

54535233253545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396789 (or 396783 counting only the distinct ones).

The product of its digits is 81000000, while the sum is 54.

The spelling of 54535233253545 in words is "fifty-four trillion, five hundred thirty-five billion, two hundred thirty-three million, two hundred fifty-three thousand, five hundred forty-five".