61274247216 has 320 divisors, whose sum is σ = 201797084160. Its totient is φ = 15591813120.

The previous prime is 61274247193. The next prime is 61274247253.

61274247216 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14119575 + ... + 14123913.

It is an arithmetic number, because the mean of its divisors is an integer number (630615888).

Almost surely, 2^61274247216 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 61274247216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100898542080).

61274247216 is an abundant number, since it is smaller than the sum of its proper divisors (140522836944).

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

61274247216 is a wasteful number, since it uses less digits than its factorization.

61274247216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4484 (or 4478 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The spelling of 61274247216 in words is "sixty-one billion, two hundred seventy-four million, two hundred forty-seven thousand, two hundred sixteen".