94948480800 has 576 divisors, whose sum is σ = 350572561920. Its totient is φ = 24796800000.

The previous prime is 94948480793. The next prime is 94948480817. The reversal of 94948480800 is 808484949.

94948480800 is a `hidden beast` number, since 9 + 4 + 9 + 484 + 80 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 378280675 + ... + 378280925.

It is an arithmetic number, because the mean of its divisors is an integer number (608632920).

Almost surely, 2^94948480800 is an apocalyptic number.

94948480800 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 94948480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175286280960).

94948480800 is an abundant number, since it is smaller than the sum of its proper divisors (255624081120).

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

94948480800 is a wasteful number, since it uses less digits than its factorization.

94948480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 94948480800 in words is "ninety-four billion, nine hundred forty-eight million, four hundred eighty thousand, eight hundred".