61466575104 has 324 divisors, whose sum is σ = 196893976188. Its totient is φ = 18426101760.

The previous prime is 61466575087. The next prime is 61466575133. The reversal of 61466575104 is 40157566416.

61466575104 is a `hidden beast` number, since 6 + 1 + 4 + 66 + 575 + 10 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42620776704 + 18845798400 = 206448^2 + 137280^2 .

It is a super-2 number, since 2×61466575104² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61466575104.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27040912 + ... + 27043184.

Almost surely, 2^61466575104 is an apocalyptic number.

61466575104 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 61466575104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98446988094).

61466575104 is an abundant number, since it is smaller than the sum of its proper divisors (135427401084).

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

61466575104 is a wasteful number, since it uses less digits than its factorization.

61466575104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 61466575104 in words is "sixty-one billion, four hundred sixty-six million, five hundred seventy-five thousand, one hundred four".