948606626856960 has 1024 divisors, whose sum is σ = 3506741653708800. Its totient is φ = 246121522790400.

The previous prime is 948606626856893. The next prime is 948606626857031. The reversal of 948606626856960 is 69658626606849.

948606626856960 is a `hidden beast` number, since 9 + 48 + 6 + 0 + 6 + 6 + 2 + 6 + 8 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 948606626856960.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13257733185 + ... + 13257804735.

It is an arithmetic number, because the mean of its divisors is an integer number (3424552396200).

Almost surely, 2^{948606626856960} is an apocalyptic number.

948606626856960 is a gapful number since it is divisible by the number (90) 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 948606626856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753370826854400).

948606626856960 is an abundant number, since it is smaller than the sum of its proper divisors (2558135026851840).

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

948606626856960 is an frugal number, since it uses more digits than its factorization.

948606626856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71644 (or 71598 counting only the distinct ones).

The product of its (nonzero) digits is 9674588160, while the sum is 81.

The spelling of 948606626856960 in words is "nine hundred forty-eight trillion, six hundred six billion, six hundred twenty-six million, eight hundred fifty-six thousand, nine hundred sixty".