1084946835456 has 1152 divisors, whose sum is σ = 3807375062400. Its totient is φ = 306361958400.

The previous prime is 1084946835451. The next prime is 1084946835487. The reversal of 1084946835456 is 6545386494801.

1084946835456 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 9 + 4 + 6 + 83 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 1084946835393 and 1084946835402.

It is not an unprimeable number, because it can be changed into a prime (1084946835451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17786013666 + ... + 17786013726.

It is an arithmetic number, because the mean of its divisors is an integer number (3305013075).

Almost surely, 2^{1084946835456} is an apocalyptic number.

1084946835456 is a gapful number since it is divisible by the number (16) 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 1084946835456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903687531200).

1084946835456 is an abundant number, since it is smaller than the sum of its proper divisors (2722428226944).

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

1084946835456 is an frugal number, since it uses more digits than its factorization.

1084946835456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 1084946835456 in words is "one trillion, eighty-four billion, nine hundred forty-six million, eight hundred thirty-five thousand, four hundred fifty-six".