61235434360064 has 72 divisors (see below), whose sum is σ = 127596157113600. Its totient is φ = 29275015497728.

The previous prime is 61235434360013. The next prime is 61235434360109. The reversal of 61235434360064 is 46006343453216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12968489 + ... + 17048535.

It is an arithmetic number, because the mean of its divisors is an integer number (1772168848800).

Almost surely, 2^{61235434360064} is an apocalyptic number.

61235434360064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61235434360064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63798078556800).

61235434360064 is an abundant number, since it is smaller than the sum of its proper divisors (66360722753536).

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

61235434360064 is a wasteful number, since it uses less digits than its factorization.

61235434360064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082635 (or 4082621 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 47.

The spelling of 61235434360064 in words is "sixty-one trillion, two hundred thirty-five billion, four hundred thirty-four million, three hundred sixty thousand, sixty-four".