61274071296 has 243 divisors, whose sum is σ = 184419385423. Its totient is φ = 20317754880.

The previous prime is 61274071289. The next prime is 61274071301. The reversal of 61274071296 is 69217047216.

The square root of 61274071296 is 247536.

It is a perfect power (a square), and thus also a powerful number.

61274071296 is a `hidden beast` number, since 612 + 7 + 4 + 0 + 7 + 1 + 29 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (243).

It is a super-2 number, since 2×61274071296² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 320806561 + ... + 320806751.

Almost surely, 2^61274071296 is an apocalyptic number.

61274071296 is the 247536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61274071296

61274071296 is an abundant number, since it is smaller than the sum of its proper divisors (123145314127).

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

61274071296 is an frugal number, since it uses more digits than its factorization.

61274071296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 61274071296 in words is "sixty-one billion, two hundred seventy-four million, seventy-one thousand, two hundred ninety-six".