93048712416000 has 1728 divisors, whose sum is σ = 395259345202176. Its totient is φ = 21576056832000.

The previous prime is 93048712415963. The next prime is 93048712416007. The reversal of 93048712416000 is 61421784039.

93048712416000 is a `hidden beast` number, since 9 + 3 + 0 + 487 + 1 + 2 + 4 + 160 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (93048712416007) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1967304352 + ... + 1967351648.

It is an arithmetic number, because the mean of its divisors is an integer number (228738046992).

Almost surely, 2^{93048712416000} is an apocalyptic number.

93048712416000 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 93048712416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197629672601088).

93048712416000 is an abundant number, since it is smaller than the sum of its proper divisors (302210632786176).

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

93048712416000 is a wasteful number, since it uses less digits than its factorization.

93048712416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47377 (or 47341 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 93048712416000 in words is "ninety-three trillion, forty-eight billion, seven hundred twelve million, four hundred sixteen thousand".