93887748864 has 576 divisors, whose sum is σ = 347457761280. Its totient is φ = 24345722880.

The previous prime is 93887748853. The next prime is 93887748883. The reversal of 93887748864 is 46884778839.

93887748864 is a `hidden beast` number, since 9 + 3 + 8 + 87 + 7 + 488 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 93887748792 and 93887748801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38367289 + ... + 38369735.

It is an arithmetic number, because the mean of its divisors is an integer number (603225280).

Almost surely, 2^93887748864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93887748864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173728880640).

93887748864 is an abundant number, since it is smaller than the sum of its proper divisors (253570012416).

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

93887748864 is a wasteful number, since it uses less digits than its factorization.

93887748864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2533 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 72.

The spelling of 93887748864 in words is "ninety-three billion, eight hundred eighty-seven million, seven hundred forty-eight thousand, eight hundred sixty-four".