1011467680144 has 80 divisors (see below), whose sum is σ = 2104819675776. Its totient is φ = 469147392000.

The previous prime is 1011467680141. The next prime is 1011467680147. The reversal of 1011467680144 is 4410867641101.

It is an interprime number because it is at equal distance from previous prime (1011467680141) and next prime (1011467680147).

It is a self number, because there is not a number n which added to its sum of digits gives 1011467680144.

It is not an unprimeable number, because it can be changed into a prime (1011467680141) 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 15 ways as a sum of consecutive naturals, for example, 110093119 + ... + 110102305.

Almost surely, 2^{1011467680144} 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 1011467680144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052409837888).

1011467680144 is an abundant number, since it is smaller than the sum of its proper divisors (1093351995632).

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

1011467680144 is a wasteful number, since it uses less digits than its factorization.

1011467680144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14984 (or 14978 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 1011467680144 in words is "one trillion, eleven billion, four hundred sixty-seven million, six hundred eighty thousand, one hundred forty-four".