1154066311344 has 80 divisors (see below), whose sum is σ = 3138621476480. Its totient is φ = 364398912000.

The previous prime is 1154066311331. The next prime is 1154066311357. The reversal of 1154066311344 is 4431136604511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1154066311331) and next prime (1154066311357).

It is an unprimeable number.

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, 8138619 + ... + 8279205.

It is an arithmetic number, because the mean of its divisors is an integer number (39232768456).

Almost surely, 2^{1154066311344} is an apocalyptic number.

It is an amenable number.

1154066311344 is an abundant number, since it is smaller than the sum of its proper divisors (1984555165136).

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

1154066311344 is a wasteful number, since it uses less digits than its factorization.

1154066311344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149618 (or 149612 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 1154066311344 in words is "one trillion, one hundred fifty-four billion, sixty-six million, three hundred eleven thousand, three hundred forty-four".