948495102720 has 1152 divisors, whose sum is σ = 3649295462400. Its totient is φ = 207367372800.

The previous prime is 948495102713. The next prime is 948495102757. The reversal of 948495102720 is 27201594849.

948495102720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1931761675 + ... + 1931762165.

It is an arithmetic number, because the mean of its divisors is an integer number (3167791200).

Almost surely, 2^948495102720 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 948495102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824647731200).

948495102720 is an abundant number, since it is smaller than the sum of its proper divisors (2700800359680).

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

948495102720 is a wasteful number, since it uses less digits than its factorization.

948495102720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 948495102720 in words is "nine hundred forty-eight billion, four hundred ninety-five million, one hundred two thousand, seven hundred twenty".