31412209952 has 162 divisors, whose sum is σ = 70056331947. Its totient is φ = 13859831808.

The previous prime is 31412209943. The next prime is 31412209987. The reversal of 31412209952 is 25990221413.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 23080901776 + 8331308176 = 151924^2 + 91276^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=125324.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a Duffinian number.

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, 323837168 + ... + 323837264.

Almost surely, 2^31412209952 is an apocalyptic number.

31412209952 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 31412209952

31412209952 is an abundant number, since it is smaller than the sum of its proper divisors (38644121995).

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

31412209952 is an equidigital number, since it uses as much as digits as its factorization.

31412209952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 31412209952 in words is "thirty-one billion, four hundred twelve million, two hundred nine thousand, nine hundred fifty-two".