31445148672 has 396 divisors, whose sum is σ = 109575582480. Its totient is φ = 8980844544.

The previous prime is 31445148629. The next prime is 31445148677. The reversal of 31445148672 is 27684154413.

31445148672 is a `hidden beast` number, since 3 + 1 + 445 + 148 + 67 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (31445148677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12191479 + ... + 12194057.

Almost surely, 2^31445148672 is an apocalyptic number.

31445148672 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 31445148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54787791240).

31445148672 is an abundant number, since it is smaller than the sum of its proper divisors (78130433808).

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

31445148672 is an equidigital number, since it uses as much as digits as its factorization.

31445148672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2591 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 31445148672 in words is "thirty-one billion, four hundred forty-five million, one hundred forty-eight thousand, six hundred seventy-two".