8393121144 has 48 divisors (see below), whose sum is σ = 23345738520. Its totient is φ = 2722092480.

The previous prime is 8393121131. The next prime is 8393121151. The reversal of 8393121144 is 4411213938.

8393121144 is a `hidden beast` number, since 8 + 393 + 121 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 8393121099 and 8393121108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1572622 + ... + 1577949.

Almost surely, 2^8393121144 is an apocalyptic number.

It is an amenable number.

8393121144 is an abundant number, since it is smaller than the sum of its proper divisors (14952617376).

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

8393121144 is a wasteful number, since it uses less digits than its factorization.

8393121144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150620 (or 3150613 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 8393121144 is about 91613.9789770098. The cubic root of 8393121144 is about 2032.2376696965.

It can be divided in two parts, 839312 and 1144, that added together give a triangular number (840456 = T₁₂₉₆).

The spelling of 8393121144 in words is "eight billion, three hundred ninety-three million, one hundred twenty-one thousand, one hundred forty-four".