94143816345600 has 4320 divisors, whose sum is σ = 439170695964000. Its totient is φ = 19804956917760.

The previous prime is 94143816345599. The next prime is 94143816345643. The reversal of 94143816345600 is 654361834149.

It is a happy number.

94143816345600 is a `hidden beast` number, since 9 + 4 + 1 + 4 + 38 + 16 + 34 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×94143816345600² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 142858598071 + ... + 142858598729.

It is an arithmetic number, because the mean of its divisors is an integer number (101659883325).

Almost surely, 2^{94143816345600} is an apocalyptic number.

94143816345600 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 94143816345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219585347982000).

94143816345600 is an abundant number, since it is smaller than the sum of its proper divisors (345026879618400).

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

94143816345600 is a wasteful number, since it uses less digits than its factorization.

94143816345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 94143816345600 in words is "ninety-four trillion, one hundred forty-three billion, eight hundred sixteen million, three hundred forty-five thousand, six hundred".