1863918248640 has 896 divisors, whose sum is σ = 7255742054400. Its totient is φ = 395726487552.

The previous prime is 1863918248581. The next prime is 1863918248669. The reversal of 1863918248640 is 468428193681.

It is a happy number.

It is a super-2 number, since 2×1863918248640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3705602629 + ... + 3705603131.

It is an arithmetic number, because the mean of its divisors is an integer number (8097926400).

Almost surely, 2^{1863918248640} is an apocalyptic number.

1863918248640 is a gapful number since it is divisible by the number (10) 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 1863918248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627871027200).

1863918248640 is an abundant number, since it is smaller than the sum of its proper divisors (5391823805760).

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

1863918248640 is a wasteful number, since it uses less digits than its factorization.

1863918248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 1863918248640 in words is "one trillion, eight hundred sixty-three billion, nine hundred eighteen million, two hundred forty-eight thousand, six hundred forty".