1863810643464 has 384 divisors, whose sum is σ = 6810247342080. Its totient is φ = 463057689600.

The previous prime is 1863810643433. The next prime is 1863810643477. The reversal of 1863810643464 is 4643460183681.

1863810643464 is a `hidden beast` number, since 1 + 8 + 6 + 38 + 106 + 43 + 464 = 666.

It is a super-2 number, since 2×1863810643464² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1863810643464.

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, 3172144 + ... + 3713504.

It is an arithmetic number, because the mean of its divisors is an integer number (17735019120).

Almost surely, 2^{1863810643464} is an apocalyptic number.

1863810643464 is a gapful number since it is divisible by the number (14) 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 1863810643464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405123671040).

1863810643464 is an abundant number, since it is smaller than the sum of its proper divisors (4946436698616).

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

1863810643464 is a wasteful number, since it uses less digits than its factorization.

1863810643464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541423 (or 541407 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 1863810643464 in words is "one trillion, eight hundred sixty-three billion, eight hundred ten million, six hundred forty-three thousand, four hundred sixty-four".