492195981312 has 1152 divisors, whose sum is σ = 1803005568000. Its totient is φ = 126234132480.

The previous prime is 492195981307. The next prime is 492195981349. The reversal of 492195981312 is 213189591294.

It is a happy number.

492195981312 is a `hidden beast` number, since 4 + 9 + 2 + 19 + 598 + 1 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5930072023 + ... + 5930072105.

It is an arithmetic number, because the mean of its divisors is an integer number (1565109000).

Almost surely, 2^492195981312 is an apocalyptic number.

492195981312 is a gapful number since it is divisible by the number (42) 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 492195981312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901502784000).

492195981312 is an abundant number, since it is smaller than the sum of its proper divisors (1310809586688).

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

492195981312 is a wasteful number, since it uses less digits than its factorization.

492195981312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 214 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The spelling of 492195981312 in words is "four hundred ninety-two billion, one hundred ninety-five million, nine hundred eighty-one thousand, three hundred twelve".