61464468384 has 192 divisors, whose sum is σ = 197112545280. Its totient is φ = 18478575360.

The previous prime is 61464468367. The next prime is 61464468391. The reversal of 61464468384 is 48386446416.

It is a happy number.

61464468384 is a `hidden beast` number, since 6 + 1 + 46 + 446 + 83 + 84 = 666.

61464468384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 61464468384.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1181547 + ... + 1232469.

It is an arithmetic number, because the mean of its divisors is an integer number (1026627840).

Almost surely, 2^61464468384 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 61464468384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98556272640).

61464468384 is an abundant number, since it is smaller than the sum of its proper divisors (135648076896).

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

61464468384 is a wasteful number, since it uses less digits than its factorization.

61464468384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51080 (or 51066 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 61464468384 in words is "sixty-one billion, four hundred sixty-four million, four hundred sixty-eight thousand, three hundred eighty-four".