8111744781840 has 320 divisors, whose sum is σ = 31939081720320. Its totient is φ = 1853698867200.

The previous prime is 8111744781799. The next prime is 8111744781949. The reversal of 8111744781840 is 481874471118.

8111744781840 is a `hidden beast` number, since 8 + 1 + 1 + 17 + 447 + 8 + 184 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70356240 + ... + 70471440.

It is an arithmetic number, because the mean of its divisors is an integer number (99809630376).

Almost surely, 2^{8111744781840} is an apocalyptic number.

8111744781840 is a gapful number since it is divisible by the number (80) 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 8111744781840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15969540860160).

8111744781840 is an abundant number, since it is smaller than the sum of its proper divisors (23827336938480).

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

8111744781840 is a wasteful number, since it uses less digits than its factorization.

8111744781840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119887 (or 119875 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 54.

The spelling of 8111744781840 in words is "eight trillion, one hundred eleven billion, seven hundred forty-four million, seven hundred eighty-one thousand, eight hundred forty".