93846916472400 has 960 divisors, whose sum is σ = 412255013990400. Its totient is φ = 19745438791680.

The previous prime is 93846916472369. The next prime is 93846916472401. The reversal of 93846916472400 is 427461964839.

It is a happy number.

93846916472400 is a `hidden beast` number, since 9 + 3 + 8 + 4 + 69 + 164 + 7 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93846916472401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 352692207 + ... + 352958193.

It is an arithmetic number, because the mean of its divisors is an integer number (429432306240).

Almost surely, 2^{93846916472400} is an apocalyptic number.

93846916472400 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 93846916472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206127506995200).

93846916472400 is an abundant number, since it is smaller than the sum of its proper divisors (318408097518000).

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

93846916472400 is a wasteful number, since it uses less digits than its factorization.

93846916472400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266393 (or 266376 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 93846916472400 in words is "ninety-three trillion, eight hundred forty-six billion, nine hundred sixteen million, four hundred seventy-two thousand, four hundred".