61338160416 has 96 divisors (see below), whose sum is σ = 178991866368. Its totient is φ = 18264453120.

The previous prime is 61338160409. The next prime is 61338160483. The reversal of 61338160416 is 61406183316.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754041 + ... + 831416.

It is an arithmetic number, because the mean of its divisors is an integer number (1864498608).

Almost surely, 2^61338160416 is an apocalyptic number.

It is an amenable number.

61338160416 is an abundant number, since it is smaller than the sum of its proper divisors (117653705952).

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

61338160416 is a wasteful number, since it uses less digits than its factorization.

61338160416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585514 (or 1585506 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 61338160416 in words is "sixty-one billion, three hundred thirty-eight million, one hundred sixty thousand, four hundred sixteen".