61328591001216 has 576 divisors, whose sum is σ = 224103048624000. Its totient is φ = 15918996602880.

The previous prime is 61328591001211. The next prime is 61328591001289. The reversal of 61328591001216 is 61210019582316.

It is a happy number.

61328591001216 is a `hidden beast` number, since 6 + 1 + 32 + 8 + 591 + 0 + 0 + 1 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×61328591001216² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61328591001211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 964269385 + ... + 964332983.

It is an arithmetic number, because the mean of its divisors is an integer number (389067792750).

Almost surely, 2^{61328591001216} is an apocalyptic number.

61328591001216 is a gapful number since it is divisible by the number (66) 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 61328591001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112051524312000).

61328591001216 is an abundant number, since it is smaller than the sum of its proper divisors (162774457622784).

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

61328591001216 is a wasteful number, since it uses less digits than its factorization.

61328591001216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65197 (or 65175 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 61328591001216 in words is "sixty-one trillion, three hundred twenty-eight billion, five hundred ninety-one million, one thousand, two hundred sixteen".