93490848000 has 864 divisors, whose sum is σ = 380930239872. Its totient is φ = 22643712000.

The previous prime is 93490847959. The next prime is 93490848019. The reversal of 93490848000 is 84809439.

It is a happy number.

93490848000 is a `hidden beast` number, since 9 + 3 + 490 + 84 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85535454 + ... + 85536546.

Almost surely, 2^93490848000 is an apocalyptic number.

93490848000 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 93490848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190465119936).

93490848000 is an abundant number, since it is smaller than the sum of its proper divisors (287439391872).

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

93490848000 is a wasteful number, since it uses less digits than its factorization.

93490848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 93490848000 in words is "ninety-three billion, four hundred ninety million, eight hundred forty-eight thousand".