1012313792448 has 336 divisors, whose sum is σ = 3665541198240. Its totient is φ = 272218447872.

The previous prime is 1012313792447. The next prime is 1012313792467. The reversal of 1012313792448 is 8442973132101.

1012313792448 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 31 + 379 + 244 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012313792443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087786 + ... + 1791062.

Almost surely, 2^{1012313792448} is an apocalyptic number.

1012313792448 is a gapful number since it is divisible by the number (18) 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 1012313792448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832770599120).

1012313792448 is an abundant number, since it is smaller than the sum of its proper divisors (2653227405792).

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

1012313792448 is a wasteful number, since it uses less digits than its factorization.

1012313792448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703329 (or 703306 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1012313792448 in words is "one trillion, twelve billion, three hundred thirteen million, seven hundred ninety-two thousand, four hundred forty-eight".