54190899809145 has 96 divisors (see below), whose sum is σ = 103219639286400. Its totient is φ = 26082222566400.

The previous prime is 54190899809129. The next prime is 54190899809147.

It is a happy number.

54190899809145 is a `hidden beast` number, since 5 + 419 + 0 + 8 + 9 + 9 + 80 + 91 + 45 = 666.

54190899809145 is nontrivially palindromic in base 10.

54190899809145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54190899809145 - 2⁴ = 54190899809129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54190899809147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 635784391 + ... + 635869619.

It is an arithmetic number, because the mean of its divisors is an integer number (1075204575900).

Almost surely, 2^{54190899809145} is an apocalyptic number.

54190899809145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54190899809145 is a deficient number, since it is larger than the sum of its proper divisors (49028739477255).

54190899809145 is a wasteful number, since it uses less digits than its factorization.

54190899809145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94631 (or 94628 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 72.

The spelling of 54190899809145 in words is "fifty-four trillion, one hundred ninety billion, eight hundred ninety-nine million, eight hundred nine thousand, one hundred forty-five".