931318536540672 has 1920 divisors, whose sum is σ = 3489229105401600. Its totient is φ = 243691266244608.

The previous prime is 931318536540647. The next prime is 931318536540673. The reversal of 931318536540672 is 276045635813139.

It is a happy number.

931318536540672 is a `hidden beast` number, since 9 + 3 + 1 + 3 + 1 + 85 + 3 + 6 + 540 + 6 + 7 + 2 = 666.

It is a super-3 number, since 3×931318536540672³ (a number of 46 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (931318536540673) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74762660268 + ... + 74762672724.

It is an arithmetic number, because the mean of its divisors is an integer number (1817306825730).

It is a 1-persistent number, because it is pandigital, but 2⋅931318536540672 = 1862637073081344 is not.

Almost surely, 2^{931318536540672} 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 931318536540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744614552700800).

931318536540672 is an abundant number, since it is smaller than the sum of its proper divisors (2557910568860928).

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

931318536540672 is a wasteful number, since it uses less digits than its factorization.

931318536540672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12711 (or 12682 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 931318536540672 in words is "nine hundred thirty-one trillion, three hundred eighteen billion, five hundred thirty-six million, five hundred forty thousand, six hundred seventy-two".