1084015542448 has 60 divisors (see below), whose sum is σ = 2234823814800. Its totient is φ = 509272032256.

The previous prime is 1084015542437. The next prime is 1084015542451. The reversal of 1084015542448 is 8442455104801.

It is a super-3 number, since 3×1084015542448³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1084015542398 and 1084015542407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2574090 + ... + 2965462.

It is an arithmetic number, because the mean of its divisors is an integer number (37247063580).

Almost surely, 2^{1084015542448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1084015542448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117411907400).

1084015542448 is an abundant number, since it is smaller than the sum of its proper divisors (1150808272352).

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

1084015542448 is a wasteful number, since it uses less digits than its factorization.

1084015542448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392014 (or 391991 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 46.

The spelling of 1084015542448 in words is "one trillion, eighty-four billion, fifteen million, five hundred forty-two thousand, four hundred forty-eight".