1045315353600 has 1188 divisors, whose sum is σ = 4438466359704. Its totient is φ = 234286940160.

The previous prime is 1045315353539. The next prime is 1045315353629. The reversal of 1045315353600 is 63535135401.

1045315353600 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 3 + 15 + 35 + 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 107 ways as a sum of consecutive naturals, for example, 598347927 + ... + 598349673.

Almost surely, 2^{1045315353600} is an apocalyptic number.

1045315353600 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 1045315353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219233179852).

1045315353600 is an abundant number, since it is smaller than the sum of its proper divisors (3393151006104).

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

1045315353600 is a wasteful number, since it uses less digits than its factorization.

1045315353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 1045315353600 in words is "one trillion, forty-five billion, three hundred fifteen million, three hundred fifty-three thousand, six hundred".