61446477456 has 405 divisors, whose sum is σ = 217570538601. Its totient is φ = 16134273792.

The previous prime is 61446477403. The next prime is 61446477473. The reversal of 61446477456 is 65477464416.

The square root of 61446477456 is 247884.

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

61446477456 is a `hidden beast` number, since 6 + 144 + 6 + 47 + 7 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9089715600 + 52356761856 = 95340^2 + 228816^2 .

Its product of digits (13547520) is a multiple of the sum of its prime divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 270689215 + ... + 270689441.

Almost surely, 2^61446477456 is an apocalyptic number.

61446477456 is the 247884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61446477456

61446477456 is an abundant number, since it is smaller than the sum of its proper divisors (156124061145).

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

61446477456 is a wasteful number, since it uses less digits than its factorization.

61446477456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 252 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 61446477456 in words is "sixty-one billion, four hundred forty-six million, four hundred seventy-seven thousand, four hundred fifty-six".