61189252164 has 288 divisors, whose sum is σ = 180165672960. Its totient is φ = 17398022400.

The previous prime is 61189252151. The next prime is 61189252169. The reversal of 61189252164 is 46125298116.

61189252164 is a `hidden beast` number, since 6 + 118 + 9 + 2 + 521 + 6 + 4 = 666.

61189252164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61189252169) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18042909 + ... + 18046299.

Almost surely, 2^61189252164 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 61189252164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90082836480).

61189252164 is an abundant number, since it is smaller than the sum of its proper divisors (118976420796).

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

61189252164 is a wasteful number, since it uses less digits than its factorization.

61189252164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511 (or 3506 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 61189252164 in words is "sixty-one billion, one hundred eighty-nine million, two hundred fifty-two thousand, one hundred sixty-four".