972049575168 has 540 divisors, whose sum is σ = 3289725202400. Its totient is φ = 276019881984.

The previous prime is 972049575149. The next prime is 972049575173. The reversal of 972049575168 is 861575940279.

972049575168 is a `hidden beast` number, since 9 + 7 + 2 + 0 + 49 + 575 + 16 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1100848455 + ... + 1100849337.

Almost surely, 2^972049575168 is an apocalyptic number.

972049575168 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972049575168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644862601200).

972049575168 is an abundant number, since it is smaller than the sum of its proper divisors (2317675627232).

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

972049575168 is an equidigital number, since it uses as much as digits as its factorization.

972049575168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 972049575168 in words is "nine hundred seventy-two billion, forty-nine million, five hundred seventy-five thousand, one hundred sixty-eight".