31168160640 has 768 divisors, whose sum is σ = 120210264000. Its totient is φ = 7617576960.

The previous prime is 31168160629. The next prime is 31168160663. The reversal of 31168160640 is 4606186113.

31168160640 is a `hidden beast` number, since 3 + 1 + 1 + 6 + 8 + 1 + 6 + 0 + 640 = 666.

It is a super-3 number, since 3×31168160640³ (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 31168160595 and 31168160604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 760199020 + ... + 760199060.

Almost surely, 2^31168160640 is an apocalyptic number.

31168160640 is a gapful number since it is divisible by the number (30) 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 31168160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60105132000).

31168160640 is an abundant number, since it is smaller than the sum of its proper divisors (89042103360).

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

31168160640 is a wasteful number, since it uses less digits than its factorization.

31168160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 117 counting only the distinct ones).

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

The spelling of 31168160640 in words is "thirty-one billion, one hundred sixty-eight million, one hundred sixty thousand, six hundred forty".