1045604736000 has 1056 divisors, whose sum is σ = 4153640736960. Its totient is φ = 250822656000.

The previous prime is 1045604735941. The next prime is 1045604736013. The reversal of 1045604736000 is 6374065401.

It is a happy number.

1045604736000 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 6 + 0 + 47 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 95 ways as a sum of consecutive naturals, for example, 1381247622 + ... + 1381248378.

It is an arithmetic number, because the mean of its divisors is an integer number (3933371910).

Almost surely, 2^{1045604736000} is an apocalyptic number.

1045604736000 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 1045604736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076820368480).

1045604736000 is an abundant number, since it is smaller than the sum of its proper divisors (3108036000960).

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

1045604736000 is a wasteful number, since it uses less digits than its factorization.

1045604736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 1045604736000 in words is "one trillion, forty-five billion, six hundred four million, seven hundred thirty-six thousand".