94348800000 has 1560 divisors, whose sum is σ = 433583311392. Its totient is φ = 19906560000.

The previous prime is 94348799971. The next prime is 94348800017. The reversal of 94348800000 is 884349.

It is a tau number, because it is divible by the number of its divisors (1560).

It is a super-2 number, since 2×94348800000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7257599994 + ... + 7257600006.

Almost surely, 2^94348800000 is an apocalyptic number.

94348800000 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 94348800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216791655696).

94348800000 is an abundant number, since it is smaller than the sum of its proper divisors (339234511392).

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

94348800000 is an frugal number, since it uses more digits than its factorization.

94348800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 94348800000 in words is "ninety-four billion, three hundred forty-eight million, eight hundred thousand".