1006995148096 has 56 divisors (see below), whose sum is σ = 2362470174720. Its totient is φ = 416687642112.

The previous prime is 1006995148037. The next prime is 1006995148097. The reversal of 1006995148096 is 6908415996001.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 1006995148096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006995148097) by changing a digit.

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, 38741440 + ... + 38767423.

Almost surely, 2^{1006995148096} is an apocalyptic number.

1006995148096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1006995148096 is an abundant number, since it is smaller than the sum of its proper divisors (1355475026624).

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

1006995148096 is an equidigital number, since it uses as much as digits as its factorization.

1006995148096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77508911 (or 77508901 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 58.

The spelling of 1006995148096 in words is "one trillion, six billion, nine hundred ninety-five million, one hundred forty-eight thousand, ninety-six".