948169098240 has 528 divisors, whose sum is σ = 3799195186752. Its totient is φ = 200051195904.

The previous prime is 948169098221. The next prime is 948169098259. The reversal of 948169098240 is 42890961849.

It is an interprime number because it is at equal distance from previous prime (948169098221) and next prime (948169098259).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9735867 + ... + 9832773.

Almost surely, 2^948169098240 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 948169098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899597593376).

948169098240 is an abundant number, since it is smaller than the sum of its proper divisors (2851026088512).

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

948169098240 is a wasteful number, since it uses less digits than its factorization.

948169098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96962 (or 96937 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 60.

The spelling of 948169098240 in words is "nine hundred forty-eight billion, one hundred sixty-nine million, ninety-eight thousand, two hundred forty".