1003864456896 has 448 divisors, whose sum is σ = 3259231764480. Its totient is φ = 266613534720.

The previous prime is 1003864456883. The next prime is 1003864456897. The reversal of 1003864456896 is 6986544683001.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (1003864456897) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121779751 + ... + 121787993.

Almost surely, 2^{1003864456896} is an apocalyptic number.

1003864456896 is a gapful number since it is divisible by the number (16) 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 1003864456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629615882240).

1003864456896 is an abundant number, since it is smaller than the sum of its proper divisors (2255367307584).

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

1003864456896 is a wasteful number, since it uses less digits than its factorization.

1003864456896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8412 (or 8402 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 1003864456896 in words is "one trillion, three billion, eight hundred sixty-four million, four hundred fifty-six thousand, eight hundred ninety-six".