1045044633600 has 2016 divisors, whose sum is σ = 4472272756224. Its totient is φ = 239409561600.

The previous prime is 1045044633583. The next prime is 1045044633613. The reversal of 1045044633600 is 63364405401.

1045044633600 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 0 + 4 + 46 + 3 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12590899159 + ... + 12590899241.

It is an arithmetic number, because the mean of its divisors is an integer number (2218389264).

Almost surely, 2^{1045044633600} is an apocalyptic number.

1045044633600 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 1045044633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236136378112).

1045044633600 is an abundant number, since it is smaller than the sum of its proper divisors (3427228122624).

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

1045044633600 is an equidigital number, since it uses as much as digits as its factorization.

1045044633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 1045044633600 in words is "one trillion, forty-five billion, forty-four million, six hundred thirty-three thousand, six hundred".