975041286912 has 1728 divisors, whose sum is σ = 3826123112448. Its totient is φ = 240371712000.

The previous prime is 975041286899. The next prime is 975041286917. The reversal of 975041286912 is 219682140579.

It is a happy number.

975041286912 is a `hidden beast` number, since 9 + 7 + 504 + 128 + 6 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×975041286912² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (975041286917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13732975837 + ... + 13732975907.

It is an arithmetic number, because the mean of its divisors is an integer number (2214191616).

Almost surely, 2^975041286912 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 975041286912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913061556224).

975041286912 is an abundant number, since it is smaller than the sum of its proper divisors (2851081825536).

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

975041286912 is a wasteful number, since it uses less digits than its factorization.

975041286912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 975041286912 in words is "nine hundred seventy-five billion, forty-one million, two hundred eighty-six thousand, nine hundred twelve".