948953730816 has 432 divisors, whose sum is σ = 3392150483904. Its totient is φ = 248439177216.

The previous prime is 948953730799. The next prime is 948953730821. The reversal of 948953730816 is 618037359849.

948953730816 is a `hidden beast` number, since 9 + 4 + 89 + 537 + 3 + 0 + 8 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28707450 + ... + 28740486.

Almost surely, 2^948953730816 is an apocalyptic number.

948953730816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 948953730816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696075241952).

948953730816 is an abundant number, since it is smaller than the sum of its proper divisors (2443196753088).

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

948953730816 is a wasteful number, since it uses less digits than its factorization.

948953730816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33216 (or 33199 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 948953730816 in words is "nine hundred forty-eight billion, nine hundred fifty-three million, seven hundred thirty thousand, eight hundred sixteen".