1148984652816 has 1440 divisors, whose sum is σ = 4694860759680. Its totient is φ = 257093222400.

The previous prime is 1148984652793. The next prime is 1148984652817. The reversal of 1148984652816 is 6182564898411.

It is a happy number.

1148984652816 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 98 + 4 + 6 + 528 + 16 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1148984652817) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1399493686 + ... + 1399494506.

It is an arithmetic number, because the mean of its divisors is an integer number (3260319972).

Almost surely, 2^{1148984652816} is an apocalyptic number.

1148984652816 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 1148984652816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347430379840).

1148984652816 is an abundant number, since it is smaller than the sum of its proper divisors (3545876106864).

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

1148984652816 is a wasteful number, since it uses less digits than its factorization.

1148984652816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 949 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 63.

The spelling of 1148984652816 in words is "one trillion, one hundred forty-eight billion, nine hundred eighty-four million, six hundred fifty-two thousand, eight hundred sixteen".