61465858344 has 512 divisors, whose sum is σ = 204374016000. Its totient is φ = 16909689600.

The previous prime is 61465858297. The next prime is 61465858369. The reversal of 61465858344 is 44385856416.

61465858344 is a `hidden beast` number, since 6 + 1 + 4 + 6 + 58 + 583 + 4 + 4 = 666.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 233710357 + ... + 233710619.

It is an arithmetic number, because the mean of its divisors is an integer number (399168000).

Almost surely, 2^61465858344 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 61465858344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102187008000).

61465858344 is an abundant number, since it is smaller than the sum of its proper divisors (142908157656).

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

61465858344 is a wasteful number, since it uses less digits than its factorization.

61465858344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 496 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 61465858344 in words is "sixty-one billion, four hundred sixty-five million, eight hundred fifty-eight thousand, three hundred forty-four".