9142867363968 has 512 divisors, whose sum is σ = 30967208160000. Its totient is φ = 2665107173376.

The previous prime is 9142867363951. The next prime is 9142867363991. The reversal of 9142867363968 is 8693637682419.

9142867363968 is a `hidden beast` number, since 9 + 142 + 8 + 67 + 36 + 396 + 8 = 666.

It is a super-2 number, since 2×9142867363968² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9142867363896 and 9142867363905.

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, 69078078 + ... + 69210306.

Almost surely, 2^{9142867363968} 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 9142867363968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15483604080000).

9142867363968 is an abundant number, since it is smaller than the sum of its proper divisors (21824340796032).

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

9142867363968 is a wasteful number, since it uses less digits than its factorization.

9142867363968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132296 (or 132266 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 9142867363968 in words is "nine trillion, one hundred forty-two billion, eight hundred sixty-seven million, three hundred sixty-three thousand, nine hundred sixty-eight".