1085363908864 has 243 divisors, whose sum is σ = 2406400813173. Its totient is φ = 488466266112.

The previous prime is 1085363908859. The next prime is 1085363908877. The reversal of 1085363908864 is 4688093635801.

The square root of 1085363908864 is 1041808.

It is a perfect power (a square), and thus also a powerful number.

1085363908864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 127157854464 + 958206054400 = 356592^2 + 978880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7284321462 + ... + 7284321610.

Almost surely, 2^{1085363908864} is an apocalyptic number.

1085363908864 is the 1041808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085363908864

1085363908864 is an abundant number, since it is smaller than the sum of its proper divisors (1321036904309).

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

1085363908864 is an frugal number, since it uses more digits than its factorization.

1085363908864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 61.

The spelling of 1085363908864 in words is "one trillion, eighty-five billion, three hundred sixty-three million, nine hundred eight thousand, eight hundred sixty-four".