975162544915104 has 6144 divisors, whose sum is σ = 4095209373696000. Its totient is φ = 221248156631040.

The previous prime is 975162544915079. The next prime is 975162544915147. The reversal of 975162544915104 is 401519445261579.

975162544915104 is a `hidden beast` number, since 9 + 7 + 5 + 1 + 6 + 25 + 4 + 4 + 91 + 510 + 4 = 666.

975162544915104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 7678445235489 + ... + 7678445235615.

It is an arithmetic number, because the mean of its divisors is an integer number (666537984000).

Almost surely, 2^{975162544915104} 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 975162544915104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047604686848000).

975162544915104 is an abundant number, since it is smaller than the sum of its proper divisors (3120046828780896).

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

975162544915104 is a wasteful number, since it uses less digits than its factorization.

975162544915104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 975162544915104 in words is "nine hundred seventy-five trillion, one hundred sixty-two billion, five hundred forty-four million, nine hundred fifteen thousand, one hundred four".