948882785004 has 756 divisors, whose sum is σ = 3357832012920. Its totient is φ = 231854192640.

The previous prime is 948882784979. The next prime is 948882785029. The reversal of 948882785004 is 400587288849.

948882785004 is a `hidden beast` number, since 9 + 48 + 8 + 82 + 7 + 8 + 500 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (948882784979) and next prime (948882785029).

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-3 number, since 3×948882785004³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 454227192 + ... + 454229280.

Almost surely, 2^948882785004 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 948882785004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678916006460).

948882785004 is an abundant number, since it is smaller than the sum of its proper divisors (2408949227916).

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

948882785004 is a wasteful number, since it uses less digits than its factorization.

948882785004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 948882785004 in words is "nine hundred forty-eight billion, eight hundred eighty-two million, seven hundred eighty-five thousand, four".