293414137380 has 864 divisors, whose sum is σ = 1192253942880. Its totient is φ = 57689210880.

The previous prime is 293414137351. The next prime is 293414137421. The reversal of 293414137380 is 83731414392.

293414137380 is a `hidden beast` number, since 2 + 93 + 4 + 1 + 413 + 73 + 80 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 51609843684 + 241804293696 = 227178^2 + 491736^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 212464290 + ... + 212465670.

It is an arithmetic number, because the mean of its divisors is an integer number (1379923545).

Almost surely, 2^293414137380 is an apocalyptic number.

293414137380 is a gapful number since it is divisible by the number (20) 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 293414137380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596126971440).

293414137380 is an abundant number, since it is smaller than the sum of its proper divisors (898839805500).

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

293414137380 is a wasteful number, since it uses less digits than its factorization.

293414137380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 293414137380 in words is "two hundred ninety-three billion, four hundred fourteen million, one hundred thirty-seven thousand, three hundred eighty".