381993264640968 has 128 divisors (see below), whose sum is σ = 1034917442064000. Its totient is φ = 117026478084096.

The previous prime is 381993264640961. The next prime is 381993264640993. The reversal of 381993264640968 is 869046462399183.

It is a super-2 number, since 2×381993264640968² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 381993264640893 and 381993264640902.

It is not an unprimeable number, because it can be changed into a prime (381993264640961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72054858 + ... + 77174406.

It is an arithmetic number, because the mean of its divisors is an integer number (8085292516125).

Almost surely, 2^{381993264640968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381993264640968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517458721032000).

381993264640968 is an abundant number, since it is smaller than the sum of its proper divisors (652924177423032).

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

381993264640968 is a wasteful number, since it uses less digits than its factorization.

381993264640968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5123871 (or 5123867 counting only the distinct ones).

The product of its (nonzero) digits is 2902376448, while the sum is 78.

The spelling of 381993264640968 in words is "three hundred eighty-one trillion, nine hundred ninety-three billion, two hundred sixty-four million, six hundred forty thousand, nine hundred sixty-eight".