61318866240000 has 1000 divisors, whose sum is σ = 229020011496540. Its totient is φ = 16329019392000.

The previous prime is 61318866239989. The next prime is 61318866240001. The reversal of 61318866240000 is 4266881316.

61318866240000 is a `hidden beast` number, since 6 + 1 + 3 + 18 + 8 + 6 + 624 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 154203865344 + 61164662374656 = 392688^2 + 7820784^2 .

It is a tau number, because it is divible by the number of its divisors (1000).

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

It is not an unprimeable number, because it can be changed into a prime (61318866240001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 27708478894 + ... + 27708481106.

Almost surely, 2^{61318866240000} is an apocalyptic number.

61318866240000 is a gapful number since it is divisible by the number (60) 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 61318866240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114510005748270).

61318866240000 is an abundant number, since it is smaller than the sum of its proper divisors (167701145256540).

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

61318866240000 is an equidigital number, since it uses as much as digits as its factorization.

61318866240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3332 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 61318866240000 in words is "sixty-one trillion, three hundred eighteen billion, eight hundred sixty-six million, two hundred forty thousand".