975164150016 has 243 divisors, whose sum is σ = 3271794928311. Its totient is φ = 278523528192.

The previous prime is 975164149963. The next prime is 975164150039. The reversal of 975164150016 is 610051461579.

The square root of 975164150016 is 987504.

It is a perfect power (a square), and thus also a powerful number.

975164150016 is a `hidden beast` number, since 9 + 75 + 1 + 64 + 1 + 500 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 331799875 + ... + 331802813.

Almost surely, 2^975164150016 is an apocalyptic number.

975164150016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

975164150016 is the 987504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 975164150016

975164150016 is an abundant number, since it is smaller than the sum of its proper divisors (2296630778295).

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

975164150016 is an frugal number, since it uses more digits than its factorization.

975164150016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 975164150016 in words is "nine hundred seventy-five billion, one hundred sixty-four million, one hundred fifty thousand, sixteen".