4148347585536 has 1408 divisors, whose sum is σ = 16425133240320. Its totient is φ = 1001167257600.

The previous prime is 4148347585511. The next prime is 4148347585537. The reversal of 4148347585536 is 6355857438414.

4148347585536 is a `hidden beast` number, since 4 + 1 + 4 + 8 + 3 + 4 + 75 + 8 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4148347585537) 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 127 ways as a sum of consecutive naturals, for example, 3003871566 + ... + 3003872946.

Almost surely, 2^{4148347585536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4148347585536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8212566620160).

4148347585536 is an abundant number, since it is smaller than the sum of its proper divisors (12276785654784).

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

4148347585536 is a wasteful number, since it uses less digits than its factorization.

4148347585536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1504 counting only the distinct ones).

The product of its digits is 193536000, while the sum is 63.

The spelling of 4148347585536 in words is "four trillion, one hundred forty-eight billion, three hundred forty-seven million, five hundred eighty-five thousand, five hundred thirty-six".