1084661467848 has 384 divisors, whose sum is σ = 3540570808320. Its totient is φ = 293486423040.

The previous prime is 1084661467829. The next prime is 1084661467891. The reversal of 1084661467848 is 8487641664801.

1084661467848 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 6 + 614 + 6 + 7 + 8 + 4 + 8 = 666.

1084661467848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1084661467848² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138752836 + ... + 138760652.

It is an arithmetic number, because the mean of its divisors is an integer number (9220236480).

Almost surely, 2^{1084661467848} is an apocalyptic number.

1084661467848 is a gapful number since it is divisible by the number (18) 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 1084661467848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770285404160).

1084661467848 is an abundant number, since it is smaller than the sum of its proper divisors (2455909340472).

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

1084661467848 is a wasteful number, since it uses less digits than its factorization.

1084661467848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8057 (or 8050 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 1084661467848 in words is "one trillion, eighty-four billion, six hundred sixty-one million, four hundred sixty-seven thousand, eight hundred forty-eight".