1074254493312 has 2688 divisors, whose sum is σ = 4611988523520. Its totient is φ = 244552089600.

The previous prime is 1074254493271. The next prime is 1074254493317. The reversal of 1074254493312 is 2133944524701.

1074254493312 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 2 + 544 + 93 + 3 + 12 = 666.

1074254493312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2688).

It is not an unprimeable number, because it can be changed into a prime (1074254493317) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 20268952678 + ... + 20268952730.

It is an arithmetic number, because the mean of its divisors is an integer number (1715769540).

Almost surely, 2^{1074254493312} is an apocalyptic number.

1074254493312 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 1074254493312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305994261760).

1074254493312 is an abundant number, since it is smaller than the sum of its proper divisors (3537734030208).

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

1074254493312 is a wasteful number, since it uses less digits than its factorization.

1074254493312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1074254493312 in words is "one trillion, seventy-four billion, two hundred fifty-four million, four hundred ninety-three thousand, three hundred twelve".