948583840400712 has 512 divisors, whose sum is σ = 2955139968960000. Its totient is φ = 281932039252224.

The previous prime is 948583840400699. The next prime is 948583840400719. The reversal of 948583840400712 is 217004048385849.

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.

948583840400712 is a `hidden beast` number, since 9 + 4 + 8 + 5 + 83 + 84 + 0 + 400 + 71 + 2 = 666.

It is a super-2 number, since 2×948583840400712² (a number of 31 digits) contains 22 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 948583840400712 = 12274³ + 98192³ = 55233³ + 92055³.

It is a self number, because there is not a number n which added to its sum of digits gives 948583840400712.

It is not an unprimeable number, because it can be changed into a prime (948583840400719) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49925465284239 + ... + 49925465284257.

It is an arithmetic number, because the mean of its divisors is an integer number (5771757751875).

Almost surely, 2^{948583840400712} 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 948583840400712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477569984480000).

948583840400712 is an abundant number, since it is smaller than the sum of its proper divisors (2006556128559288).

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

948583840400712 is an frugal number, since it uses more digits than its factorization.

948583840400712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 948583840400712 in words is "nine hundred forty-eight trillion, five hundred eighty-three billion, eight hundred forty million, four hundred thousand, seven hundred twelve".