54006014000034 has 32 divisors (see below), whose sum is σ = 120016152023040. Its totient is φ = 18001586529936.

The previous prime is 54006014000023. The next prime is 54006014000039. The reversal of 54006014000034 is 43000041060045.

54006014000034 is a `hidden beast` number, since 54 + 0 + 0 + 601 + 4 + 0 + 0 + 0 + 0 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 54006013999971 and 54006014000007.

It is not an unprimeable number, because it can be changed into a prime (54006014000039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9264162 + ... + 13922525.

It is an arithmetic number, because the mean of its divisors is an integer number (3750504750720).

Almost surely, 2^{54006014000034} is an apocalyptic number.

54006014000034 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

54006014000034 is an abundant number, since it is smaller than the sum of its proper divisors (66010138023006).

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

54006014000034 is a wasteful number, since it uses less digits than its factorization.

54006014000034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23229831 (or 23229825 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 54006014000034 its reverse (43000041060045), we get a palindrome (97006055060079).

The spelling of 54006014000034 in words is "fifty-four trillion, six billion, fourteen million, thirty-four", and thus it is an aban number.