309372244992 has 440 divisors, whose sum is σ = 979324675560. Its totient is φ = 97108623360.

The previous prime is 309372244981. The next prime is 309372244997. The reversal of 309372244992 is 299442273903.

309372244992 is a `hidden beast` number, since 3 + 0 + 93 + 7 + 22 + 449 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70509367296 + 238862877696 = 265536^2 + 488736^2 .

It is a super-2 number, since 2×309372244992² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309372244997) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98618848 + ... + 98621984.

It is an arithmetic number, because the mean of its divisors is an integer number (2225737899).

Almost surely, 2^309372244992 is an apocalyptic number.

309372244992 is a gapful number since it is divisible by the number (32) 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 309372244992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489662337780).

309372244992 is an abundant number, since it is smaller than the sum of its proper divisors (669952430568).

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

309372244992 is a wasteful number, since it uses less digits than its factorization.

309372244992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 309372244992 in words is "three hundred nine billion, three hundred seventy-two million, two hundred forty-four thousand, nine hundred ninety-two".