1140168686896 has 80 divisors (see below), whose sum is σ = 2403986135040. Its totient is φ = 521850700800.

The previous prime is 1140168686837. The next prime is 1140168686897. The reversal of 1140168686896 is 6986868610411.

It is a super-2 number, since 2×1140168686896² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1140168686897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1043721 + ... + 1835671.

It is an arithmetic number, because the mean of its divisors is an integer number (30049826688).

Almost surely, 2^{1140168686896} is an apocalyptic number.

1140168686896 is a gapful number since it is divisible by the number (16) 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 1140168686896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201993067520).

1140168686896 is an abundant number, since it is smaller than the sum of its proper divisors (1263817448144).

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

1140168686896 is a wasteful number, since it uses less digits than its factorization.

1140168686896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792122 (or 792116 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 64.

The spelling of 1140168686896 in words is "one trillion, one hundred forty billion, one hundred sixty-eight million, six hundred eighty-six thousand, eight hundred ninety-six".