45646016103135 has 128 divisors (see below), whose sum is σ = 97752241766400. Its totient is φ = 19742171472000.

The previous prime is 45646016103131. The next prime is 45646016103143. The reversal of 45646016103135 is 53130161064654.

45646016103135 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 601 + 6 + 1 + 0 + 3 + 1 + 35 = 666.

45646016103135 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 45646016103135 - 2² = 45646016103131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45646016103131) 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 127 ways as a sum of consecutive naturals, for example, 11791632 + ... + 15176778.

It is an arithmetic number, because the mean of its divisors is an integer number (763689388800).

Almost surely, 2^{45646016103135} is an apocalyptic number.

45646016103135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45646016103135 is an abundant number, since it is smaller than the sum of its proper divisors (52106225663265).

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

45646016103135 is a wasteful number, since it uses less digits than its factorization.

45646016103135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385938 (or 3385932 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

Adding to 45646016103135 its reverse (53130161064654), we get a palindrome (98776177167789).

The spelling of 45646016103135 in words is "forty-five trillion, six hundred forty-six billion, sixteen million, one hundred three thousand, one hundred thirty-five".