1074982834464 has 192 divisors, whose sum is σ = 3524890908672. Its totient is φ = 278679398400.

The previous prime is 1074982834463. The next prime is 1074982834517. The reversal of 1074982834464 is 4644382894701.

It is a junction number, because it is equal to n+sod(n) for n = 1074982834398 and 1074982834407.

It is not an unprimeable number, because it can be changed into a prime (1074982834463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3711669 + ... + 3990795.

It is an arithmetic number, because the mean of its divisors is an integer number (18358806816).

Almost surely, 2^{1074982834464} is an apocalyptic number.

1074982834464 is a gapful number since it is divisible by the number (14) 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 1074982834464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762445454336).

1074982834464 is an abundant number, since it is smaller than the sum of its proper divisors (2449908074208).

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

1074982834464 is a wasteful number, since it uses less digits than its factorization.

1074982834464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279679 (or 279671 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 60.

The spelling of 1074982834464 in words is "one trillion, seventy-four billion, nine hundred eighty-two million, eight hundred thirty-four thousand, four hundred sixty-four".