93092993064 has 128 divisors (see below), whose sum is σ = 260330112000. Its totient is φ = 30823034112.

The previous prime is 93092993053. The next prime is 93092993083. The reversal of 93092993064 is 46039929039.

93092993064 is a `hidden beast` number, since 9 + 309 + 29 + 9 + 306 + 4 = 666.

It is a super-2 number, since 2×93092993064² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 93092993064.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24515614 + ... + 24519410.

It is an arithmetic number, because the mean of its divisors is an integer number (2033829000).

Almost surely, 2^93092993064 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 93092993064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130165056000).

93092993064 is an abundant number, since it is smaller than the sum of its proper divisors (167237118936).

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

93092993064 is a wasteful number, since it uses less digits than its factorization.

93092993064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The spelling of 93092993064 in words is "ninety-three billion, ninety-two million, nine hundred ninety-three thousand, sixty-four".