1046456980800 has 3024 divisors, whose sum is σ = 4902902194176. Its totient is φ = 190688256000.

The previous prime is 1046456980799. The next prime is 1046456980889. The reversal of 1046456980800 is 80896546401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 33756676785 + ... + 33756676815.

Almost surely, 2^{1046456980800} is an apocalyptic number.

1046456980800 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 1046456980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451451097088).

1046456980800 is an abundant number, since it is smaller than the sum of its proper divisors (3856445213376).

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

1046456980800 is a wasteful number, since it uses less digits than its factorization.

1046456980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 1046456980800 in words is "one trillion, forty-six billion, four hundred fifty-six million, nine hundred eighty thousand, eight hundred".