1083314534400 has 1728 divisors, whose sum is σ = 4725888148800. Its totient is φ = 231871610880.

The previous prime is 1083314534399. The next prime is 1083314534503. The reversal of 1083314534400 is 44354133801.

1083314534400 is a `hidden beast` number, since 1 + 0 + 83 + 3 + 1 + 4 + 534 + 40 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3461068644 + ... + 3461068956.

It is an arithmetic number, because the mean of its divisors is an integer number (2734888975).

Almost surely, 2^{1083314534400} is an apocalyptic number.

1083314534400 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 1083314534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362944074400).

1083314534400 is an abundant number, since it is smaller than the sum of its proper divisors (3642573614400).

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

1083314534400 is a wasteful number, since it uses less digits than its factorization.

1083314534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1083314534400 in words is "one trillion, eighty-three billion, three hundred fourteen million, five hundred thirty-four thousand, four hundred".