972468825705 has 64 divisors (see below), whose sum is σ = 1872583211520. Its totient is φ = 475986371328.

The previous prime is 972468825703. The next prime is 972468825719. The reversal of 972468825705 is 507528864279.

972468825705 is a `hidden beast` number, since 97 + 2 + 468 + 82 + 5 + 7 + 0 + 5 = 666.

It is not a de Polignac number, because 972468825705 - 2¹ = 972468825703 is a prime.

It is not an unprimeable number, because it can be changed into a prime (972468825703) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1297869 + ... + 1905098.

It is an arithmetic number, because the mean of its divisors is an integer number (29259112680).

Almost surely, 2^972468825705 is an apocalyptic number.

It is an amenable number.

972468825705 is a deficient number, since it is larger than the sum of its proper divisors (900114385815).

972468825705 is a wasteful number, since it uses less digits than its factorization.

972468825705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203167 (or 3203161 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 972468825705 in words is "nine hundred seventy-two billion, four hundred sixty-eight million, eight hundred twenty-five thousand, seven hundred five".