61459064832 has 192 divisors, whose sum is σ = 179508026880. Its totient is φ = 18544640000.

The previous prime is 61459064831. The next prime is 61459064839. The reversal of 61459064832 is 23846095416.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (61459064831) 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 15 ways as a sum of consecutive naturals, for example, 16961773 + ... + 16965395.

It is an arithmetic number, because the mean of its divisors is an integer number (934937640).

Almost surely, 2^61459064832 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 61459064832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89754013440).

61459064832 is an abundant number, since it is smaller than the sum of its proper divisors (118048962048).

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

61459064832 is a wasteful number, since it uses less digits than its factorization.

61459064832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 61459064832 in words is "sixty-one billion, four hundred fifty-nine million, sixty-four thousand, eight hundred thirty-two".