1013468716800 has 864 divisors, whose sum is σ = 3836832135360. Its totient is φ = 261572198400.

The previous prime is 1013468716759. The next prime is 1013468716859. The reversal of 1013468716800 is 86178643101.

1013468716800 is a `hidden beast` number, since 10 + 13 + 468 + 7 + 168 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1873324530 + ... + 1873325070.

Almost surely, 2^{1013468716800} is an apocalyptic number.

1013468716800 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 1013468716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918416067680).

1013468716800 is an abundant number, since it is smaller than the sum of its proper divisors (2823363418560).

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

1013468716800 is a wasteful number, since it uses less digits than its factorization.

1013468716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1013468716800 in words is "one trillion, thirteen billion, four hundred sixty-eight million, seven hundred sixteen thousand, eight hundred".