54106442034304 has 64 divisors (see below), whose sum is σ = 117590654206080. Its totient is φ = 24593550822400.

The previous prime is 54106442034287. The next prime is 54106442034319. The reversal of 54106442034304 is 40343024460145.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×54106442034304² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162912894 + ... + 163244674.

It is an arithmetic number, because the mean of its divisors is an integer number (1837353971970).

Almost surely, 2^{54106442034304} is an apocalyptic number.

It is an amenable number.

54106442034304 is an abundant number, since it is smaller than the sum of its proper divisors (63484212171776).

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

54106442034304 is a wasteful number, since it uses less digits than its factorization.

54106442034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447629 (or 447617 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

Adding to 54106442034304 its reverse (40343024460145), we get a palindrome (94449466494449).

The spelling of 54106442034304 in words is "fifty-four trillion, one hundred six billion, four hundred forty-two million, thirty-four thousand, three hundred four".