1864461771648 has 384 divisors, whose sum is σ = 6233519635200. Its totient is φ = 523925176320.

The previous prime is 1864461771631. The next prime is 1864461771661. The reversal of 1864461771648 is 8461771644681.

1864461771648 is a `hidden beast` number, since 1 + 8 + 6 + 4 + 4 + 617 + 7 + 1 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 119363583 + ... + 119379201.

It is an arithmetic number, because the mean of its divisors is an integer number (16233124050).

Almost surely, 2^{1864461771648} is an apocalyptic number.

1864461771648 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 1864461771648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116759817600).

1864461771648 is an abundant number, since it is smaller than the sum of its proper divisors (4369057863552).

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

1864461771648 is a wasteful number, since it uses less digits than its factorization.

1864461771648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15890 (or 15875 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 1864461771648 in words is "one trillion, eight hundred sixty-four billion, four hundred sixty-one million, seven hundred seventy-one thousand, six hundred forty-eight".