1493648181648 has 2160 divisors, whose sum is σ = 6009654643200. Its totient is φ = 355541114880.

The previous prime is 1493648181559. The next prime is 1493648181659. The reversal of 1493648181648 is 8461818463941.

1493648181648 is a `hidden beast` number, since 1 + 4 + 9 + 36 + 481 + 81 + 6 + 48 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (31850496) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 48182199393 + ... + 48182199423.

It is an arithmetic number, because the mean of its divisors is an integer number (2782247520).

Almost surely, 2^{1493648181648} is an apocalyptic number.

1493648181648 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 1493648181648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004827321600).

1493648181648 is an abundant number, since it is smaller than the sum of its proper divisors (4516006461552).

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

1493648181648 is a wasteful number, since it uses less digits than its factorization.

1493648181648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 108 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 1493648181648 in words is "one trillion, four hundred ninety-three billion, six hundred forty-eight million, one hundred eighty-one thousand, six hundred forty-eight".