45567648144095 has 256 divisors, whose sum is σ = 72204255277056. Its totient is φ = 26790746112000.

The previous prime is 45567648144071. The next prime is 45567648144181. The reversal of 45567648144095 is 59044184676554.

It is not a de Polignac number, because 45567648144095 - 2¹² = 45567648139999 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37566073709 + ... + 37566074921.

It is an arithmetic number, because the mean of its divisors is an integer number (282047872176).

Almost surely, 2^{45567648144095} is an apocalyptic number.

45567648144095 is a deficient number, since it is larger than the sum of its proper divisors (26636607132961).

45567648144095 is a wasteful number, since it uses less digits than its factorization.

45567648144095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954.

The product of its (nonzero) digits is 580608000, while the sum is 68.

The spelling of 45567648144095 in words is "forty-five trillion, five hundred sixty-seven billion, six hundred forty-eight million, one hundred forty-four thousand, ninety-five".