54106414162000 has 40 divisors (see below), whose sum is σ = 130829309448552. Its totient is φ = 21642565664000.

The previous prime is 54106414161953. The next prime is 54106414162001. The reversal of 54106414162000 is 26141460145.

It can be written as a sum of positive squares in 4 ways, for example, as 3198417481744 + 50907996680256 = 1788412^2 + 7134984^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×54106414162000³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54106414162001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13526601541 + ... + 13526605540.

Almost surely, 2^{54106414162000} is an apocalyptic number.

54106414162000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54106414162000 is an abundant number, since it is smaller than the sum of its proper divisors (76722895286552).

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

54106414162000 is a wasteful number, since it uses less digits than its factorization.

54106414162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27053207104 (or 27053207088 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 54106414162000 in words is "fifty-four trillion, one hundred six billion, four hundred fourteen million, one hundred sixty-two thousand".