61594131648 has 224 divisors, whose sum is σ = 187912857600. Its totient is φ = 17441980416.

The previous prime is 61594131637. The next prime is 61594131659. The reversal of 61594131648 is 84613149516.

It is an interprime number because it is at equal distance from previous prime (61594131637) and next prime (61594131659).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 61594131597 and 61594131606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108249508 + ... + 108250076.

Almost surely, 2^61594131648 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 61594131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93956428800).

61594131648 is an abundant number, since it is smaller than the sum of its proper divisors (126318725952).

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

61594131648 is a wasteful number, since it uses less digits than its factorization.

61594131648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1157 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The spelling of 61594131648 in words is "sixty-one billion, five hundred ninety-four million, one hundred thirty-one thousand, six hundred forty-eight".