61435888164 has 162 divisors, whose sum is σ = 186671343222. Its totient is φ = 16986412800.

The previous prime is 61435888103. The next prime is 61435888169. The reversal of 61435888164 is 46188853416.

61435888164 is a `hidden beast` number, since 6 + 1 + 43 + 588 + 8 + 16 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33225998400 + 28209889764 = 182280^2 + 167958^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 61435888164.

It is not an unprimeable number, because it can be changed into a prime (61435888169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1677084 + ... + 1713324.

Almost surely, 2^61435888164 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 61435888164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93335671611).

61435888164 is an abundant number, since it is smaller than the sum of its proper divisors (125235455058).

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

61435888164 is a wasteful number, since it uses less digits than its factorization.

61435888164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36327 (or 36284 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 61435888164 in words is "sixty-one billion, four hundred thirty-five million, eight hundred eighty-eight thousand, one hundred sixty-four".