61062316848000 has 768 divisors, whose sum is σ = 236242095747840. Its totient is φ = 15025405132800.

The previous prime is 61062316847963. The next prime is 61062316848007. The reversal of 61062316848000 is 84861326016.

61062316848000 is a `hidden beast` number, since 6 + 1 + 0 + 6 + 2 + 3 + 168 + 480 + 0 + 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 not an unprimeable number, because it can be changed into a prime (61062316848007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9242060697 + ... + 9242067303.

It is an arithmetic number, because the mean of its divisors is an integer number (307606895505).

Almost surely, 2^{61062316848000} is an apocalyptic number.

61062316848000 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 61062316848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118121047873920).

61062316848000 is an abundant number, since it is smaller than the sum of its proper divisors (175179778899840).

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

61062316848000 is a wasteful number, since it uses less digits than its factorization.

61062316848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11592 (or 11567 counting only the distinct ones).

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

The spelling of 61062316848000 in words is "sixty-one trillion, sixty-two billion, three hundred sixteen million, eight hundred forty-eight thousand".