61500456357216 has 192 divisors, whose sum is σ = 172855115596800. Its totient is φ = 19087673227776.

The previous prime is 61500456357199. The next prime is 61500456357251. The reversal of 61500456357216 is 61275365400516.

It is a happy number.

It is a super-2 number, since 2×61500456357216² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489267111 + ... + 489392793.

It is an arithmetic number, because the mean of its divisors is an integer number (900287060400).

Almost surely, 2^{61500456357216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61500456357216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86427557798400).

61500456357216 is an abundant number, since it is smaller than the sum of its proper divisors (111354659239584).

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

61500456357216 is a wasteful number, since it uses less digits than its factorization.

61500456357216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130321 (or 130313 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 61500456357216 in words is "sixty-one trillion, five hundred billion, four hundred fifty-six million, three hundred fifty-seven thousand, two hundred sixteen".