61146360608640 has 512 divisors, whose sum is σ = 205461186785280. Its totient is φ = 15447269376000.

The previous prime is 61146360608639. The next prime is 61146360608651. The reversal of 61146360608640 is 4680606364116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 766042012 + ... + 766121828.

It is an arithmetic number, because the mean of its divisors is an integer number (401291380440).

Almost surely, 2^{61146360608640} is an apocalyptic number.

61146360608640 is a gapful number since it is divisible by the number (60) 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 61146360608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102730593392640).

61146360608640 is an abundant number, since it is smaller than the sum of its proper divisors (144314826176640).

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

61146360608640 is a wasteful number, since it uses less digits than its factorization.

61146360608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80142 (or 80130 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 61146360608640 in words is "sixty-one trillion, one hundred forty-six billion, three hundred sixty million, six hundred eight thousand, six hundred forty".