61132446648 has 864 divisors, whose sum is σ = 228690680400. Its totient is φ = 14579066880.

The previous prime is 61132446643. The next prime is 61132446653. The reversal of 61132446648 is 84664423116.

61132446648 is a `hidden beast` number, since 611 + 3 + 24 + 4 + 6 + 6 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (61132446643) and next prime (61132446653).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61132446643) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 837430740 + ... + 837430812.

Almost surely, 2^61132446648 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 61132446648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114345340200).

61132446648 is an abundant number, since it is smaller than the sum of its proper divisors (167558233752).

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

61132446648 is a wasteful number, since it uses less digits than its factorization.

61132446648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 148 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 61132446648 in words is "sixty-one billion, one hundred thirty-two million, four hundred forty-six thousand, six hundred forty-eight".