1048082313600 has 864 divisors, whose sum is σ = 4540511211600. Its totient is φ = 225457274880.

The previous prime is 1048082313587. The next prime is 1048082313611. The reversal of 1048082313600 is 63132808401.

1048082313600 is a `hidden beast` number, since 1 + 0 + 48 + 0 + 8 + 2 + 3 + 1 + 3 + 600 = 666.

It is a super-2 number, since 2×1048082313600² (a number of 25 digits) contains 22 as substring.

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, 58253406 + ... + 58271394.

Almost surely, 2^{1048082313600} is an apocalyptic number.

1048082313600 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 1048082313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270255605800).

1048082313600 is an abundant number, since it is smaller than the sum of its proper divisors (3492428898000).

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

1048082313600 is a wasteful number, since it uses less digits than its factorization.

1048082313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18060 (or 18023 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1048082313600 in words is "one trillion, forty-eight billion, eighty-two million, three hundred thirteen thousand, six hundred".