48331293420960 has 384 divisors, whose sum is σ = 192561046917120. Its totient is φ = 11207256192000.

The previous prime is 48331293420953. The next prime is 48331293420967. The reversal of 48331293420960 is 6902439213384.

48331293420960 is a `hidden beast` number, since 4 + 8 + 3 + 3 + 129 + 3 + 420 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48331293420953) and next prime (48331293420967).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 48331293420897 and 48331293420906.

It is not an unprimeable number, because it can be changed into a prime (48331293420967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21017316 + ... + 23203235.

It is an arithmetic number, because the mean of its divisors is an integer number (501461059680).

Almost surely, 2^{48331293420960} is an apocalyptic number.

48331293420960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48331293420960 is an abundant number, since it is smaller than the sum of its proper divisors (144229753496160).

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

48331293420960 is a wasteful number, since it uses less digits than its factorization.

48331293420960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44220609 (or 44220595 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 48331293420960 in words is "forty-eight trillion, three hundred thirty-one billion, two hundred ninety-three million, four hundred twenty thousand, nine hundred sixty".