93049274131968 has 1280 divisors, whose sum is σ = 336483423682560. Its totient is φ = 22114064793600.

The previous prime is 93049274131963. The next prime is 93049274131981. The reversal of 93049274131968 is 86913147294039.

It is a super-2 number, since 2×93049274131968² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 93049274131899 and 93049274131908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93049274131963) 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 127 ways as a sum of consecutive naturals, for example, 47161313830 + ... + 47161315802.

It is an arithmetic number, because the mean of its divisors is an integer number (262877674752).

Almost surely, 2^{93049274131968} 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 93049274131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168241711841280).

93049274131968 is an abundant number, since it is smaller than the sum of its proper divisors (243434149550592).

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

93049274131968 is a wasteful number, since it uses less digits than its factorization.

93049274131968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 66.

The spelling of 93049274131968 in words is "ninety-three trillion, forty-nine billion, two hundred seventy-four million, one hundred thirty-one thousand, nine hundred sixty-eight".