1074744720192 has 448 divisors, whose sum is σ = 3374092108800. Its totient is φ = 297642885120.

The previous prime is 1074744720173. The next prime is 1074744720193. The reversal of 1074744720192 is 2910274474701.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074744720193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1862642208 + ... + 1862642784.

It is an arithmetic number, because the mean of its divisors is an integer number (7531455600).

Almost surely, 2^{1074744720192} is an apocalyptic number.

1074744720192 is a gapful number since it is divisible by the number (12) 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 1074744720192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687046054400).

1074744720192 is an abundant number, since it is smaller than the sum of its proper divisors (2299347388608).

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

1074744720192 is a wasteful number, since it uses less digits than its factorization.

1074744720192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 1074744720192 in words is "one trillion, seventy-four billion, seven hundred forty-four million, seven hundred twenty thousand, one hundred ninety-two".