61264400446216 has 64 divisors (see below), whose sum is σ = 129398897295360. Its totient is φ = 26940195912000.

The previous prime is 61264400446177. The next prime is 61264400446219.

61264400446216 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61264400446216² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61264400446219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4484745 + ... + 11943271.

It is an arithmetic number, because the mean of its divisors is an integer number (2021857770240).

Almost surely, 2^{61264400446216} 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 61264400446216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64699448647680).

61264400446216 is an abundant number, since it is smaller than the sum of its proper divisors (68134496849144).

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

61264400446216 is a wasteful number, since it uses less digits than its factorization.

61264400446216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7461586 (or 7461582 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 61264400446216 in words is "sixty-one trillion, two hundred sixty-four billion, four hundred million, four hundred forty-six thousand, two hundred sixteen".