61441496064 has 528 divisors, whose sum is σ = 200857273344. Its totient is φ = 17960140800.

The previous prime is 61441496059. The next prime is 61441496071. The reversal of 61441496064 is 46069414416.

61441496064 is a `hidden beast` number, since 61 + 4 + 41 + 496 + 0 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263697292 + ... + 263697524.

Almost surely, 2^61441496064 is an apocalyptic number.

61441496064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61441496064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100428636672).

61441496064 is an abundant number, since it is smaller than the sum of its proper divisors (139415777280).

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

61441496064 is a wasteful number, since it uses less digits than its factorization.

61441496064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 61441496064 in words is "sixty-one billion, four hundred forty-one million, four hundred ninety-six thousand, sixty-four".