31455478752768 has 1280 divisors, whose sum is σ = 112218997524480. Its totient is φ = 8513637580800.

The previous prime is 31455478752751. The next prime is 31455478752769. The reversal of 31455478752768 is 86725787455413.

31455478752768 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 5 + 478 + 75 + 27 + 68 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 = 31455478752696 and 31455478752705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31455478752769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19404982998 + ... + 19404984618.

It is an arithmetic number, because the mean of its divisors is an integer number (87671091816).

Almost surely, 2^{31455478752768} 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 31455478752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56109498762240).

31455478752768 is an abundant number, since it is smaller than the sum of its proper divisors (80763518771712).

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

31455478752768 is a wasteful number, since it uses less digits than its factorization.

31455478752768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1814 counting only the distinct ones).

The product of its digits is 1580544000, while the sum is 72.

The spelling of 31455478752768 in words is "thirty-one trillion, four hundred fifty-five billion, four hundred seventy-eight million, seven hundred fifty-two thousand, seven hundred sixty-eight".