61272227216 has 20 divisors (see below), whose sum is σ = 124963095600. Its totient is φ = 29023686432.

The previous prime is 61272227183. The next prime is 61272227221.

It is a happy number.

61272227216 is nontrivially palindromic in base 10.

61272227216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61272227216² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 61272227216.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 100776386 + ... + 100776993.

It is an arithmetic number, because the mean of its divisors is an integer number (6248154780).

Almost surely, 2^61272227216 is an apocalyptic number.

It is an amenable number.

61272227216 is an abundant number, since it is smaller than the sum of its proper divisors (63690868384).

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

61272227216 is a wasteful number, since it uses less digits than its factorization.

61272227216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201553406 (or 201553400 counting only the distinct ones).

The product of its digits is 56448, while the sum is 38.

The spelling of 61272227216 in words is "sixty-one billion, two hundred seventy-two million, two hundred twenty-seven thousand, two hundred sixteen".