31191049162368 has 384 divisors, whose sum is σ = 93362068800000. Its totient is φ = 9983288254464.

The previous prime is 31191049162367. The next prime is 31191049162391. The reversal of 31191049162368 is 86326194019113.

31191049162368 is a `hidden beast` number, since 3 + 1 + 1 + 9 + 1 + 0 + 4 + 9 + 1 + 623 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (31191049162367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11346324258 + ... + 11346327006.

It is an arithmetic number, because the mean of its divisors is an integer number (243130387500).

Almost surely, 2^{31191049162368} 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 31191049162368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46681034400000).

31191049162368 is an abundant number, since it is smaller than the sum of its proper divisors (62171019637632).

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

31191049162368 is a wasteful number, since it uses less digits than its factorization.

31191049162368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 31191049162368 in words is "thirty-one trillion, one hundred ninety-one billion, forty-nine million, one hundred sixty-two thousand, three hundred sixty-eight".