1078046496000 has 720 divisors, whose sum is σ = 4060889921088. Its totient is φ = 283958784000.

The previous prime is 1078046495957. The next prime is 1078046496011. The reversal of 1078046496000 is 6946408701.

1078046496000 is a `hidden beast` number, since 107 + 80 + 464 + 9 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 215133495 + ... + 215138505.

Almost surely, 2^{1078046496000} is an apocalyptic number.

1078046496000 is a gapful number since it is divisible by the number (10) 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 1078046496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030444960544).

1078046496000 is an abundant number, since it is smaller than the sum of its proper divisors (2982843425088).

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

1078046496000 is an frugal number, since it uses more digits than its factorization.

1078046496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137 (or 5104 counting only the distinct ones).

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

The spelling of 1078046496000 in words is "one trillion, seventy-eight billion, forty-six million, four hundred ninety-six thousand".