1121816742816 has 768 divisors, whose sum is σ = 4050785894400. Its totient is φ = 262857830400.

The previous prime is 1121816742803. The next prime is 1121816742829. The reversal of 1121816742816 is 6182476181211.

It is an interprime number because it is at equal distance from previous prime (1121816742803) and next prime (1121816742829).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 868951131 + ... + 868952421.

It is an arithmetic number, because the mean of its divisors is an integer number (5274460800).

Almost surely, 2^{1121816742816} is an apocalyptic number.

1121816742816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121816742816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025392947200).

1121816742816 is an abundant number, since it is smaller than the sum of its proper divisors (2928969151584).

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

1121816742816 is a wasteful number, since it uses less digits than its factorization.

1121816742816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1625 counting only the distinct ones).

The product of its digits is 258048, while the sum is 48.

The spelling of 1121816742816 in words is "one trillion, one hundred twenty-one billion, eight hundred sixteen million, seven hundred forty-two thousand, eight hundred sixteen".