972549954336 has 48 divisors (see below), whose sum is σ = 2553738020064. Its totient is φ = 324082443264.

The previous prime is 972549954289. The next prime is 972549954361. The reversal of 972549954336 is 633459945279.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1265730 + ... + 1883393.

It is an arithmetic number, because the mean of its divisors is an integer number (53202875418).

Almost surely, 2^972549954336 is an apocalyptic number.

972549954336 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

972549954336 is an abundant number, since it is smaller than the sum of its proper divisors (1581188065728).

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

972549954336 is a wasteful number, since it uses less digits than its factorization.

972549954336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152353 (or 3152345 counting only the distinct ones).

The product of its digits is 220449600, while the sum is 66.

The spelling of 972549954336 in words is "nine hundred seventy-two billion, five hundred forty-nine million, nine hundred fifty-four thousand, three hundred thirty-six".