93354293340 has 1440 divisors, whose sum is σ = 415462037760. Its totient is φ = 17244057600.

The previous prime is 93354293339. The next prime is 93354293353. The reversal of 93354293340 is 4339245339.

93354293340 is a `hidden beast` number, since 9 + 3 + 354 + 293 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 282036975 + ... + 282037305.

It is an arithmetic number, because the mean of its divisors is an integer number (288515304).

Almost surely, 2^93354293340 is an apocalyptic number.

93354293340 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 93354293340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207731018880).

93354293340 is an abundant number, since it is smaller than the sum of its proper divisors (322107744420).

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

93354293340 is a wasteful number, since it uses less digits than its factorization.

93354293340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 93354293340 in words is "ninety-three billion, three hundred fifty-four million, two hundred ninety-three thousand, three hundred forty".