61546395231360 has 2048 divisors, whose sum is σ = 255468971520000. Its totient is φ = 13948457582592.

The previous prime is 61546395231337. The next prime is 61546395231439. The reversal of 61546395231360 is 6313259364516.

61546395231360 is a `hidden beast` number, since 6 + 1 + 5 + 46 + 3 + 9 + 5 + 231 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 61546395231297 and 61546395231306.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30333362826 + ... + 30333364854.

It is an arithmetic number, because the mean of its divisors is an integer number (124740708750).

Almost surely, 2^{61546395231360} is an apocalyptic number.

61546395231360 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 61546395231360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127734485760000).

61546395231360 is an abundant number, since it is smaller than the sum of its proper divisors (193922576288640).

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

61546395231360 is a wasteful number, since it uses less digits than its factorization.

61546395231360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 61546395231360 in words is "sixty-one trillion, five hundred forty-six billion, three hundred ninety-five million, two hundred thirty-one thousand, three hundred sixty".