10062473131648 has 512 divisors, whose sum is σ = 24196561159680. Its totient is φ = 4080181248000.

The previous prime is 10062473131643. The next prime is 10062473131649. The reversal of 10062473131648 is 84613137426001.

It is a junction number, because it is equal to n+sod(n) for n = 10062473131598 and 10062473131607.

It is not an unprimeable number, because it can be changed into a prime (10062473131643) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 55593774118 + ... + 55593774298.

It is an arithmetic number, because the mean of its divisors is an integer number (47258908515).

Almost surely, 2^{10062473131648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10062473131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12098280579840).

10062473131648 is an abundant number, since it is smaller than the sum of its proper divisors (14134088028032).

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

10062473131648 is a wasteful number, since it uses less digits than its factorization.

10062473131648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 10062473131648 in words is "ten trillion, sixty-two billion, four hundred seventy-three million, one hundred thirty-one thousand, six hundred forty-eight".