61536098416 has 80 divisors (see below), whose sum is σ = 130347212800. Its totient is φ = 27973257984.

The previous prime is 61536098387. The next prime is 61536098461. The reversal of 61536098416 is 61489063516.

61536098416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61536098416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3663445 + ... + 3680203.

It is an arithmetic number, because the mean of its divisors is an integer number (1629340160).

Almost surely, 2^61536098416 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 61536098416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65173606400).

61536098416 is an abundant number, since it is smaller than the sum of its proper divisors (68811114384).

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

61536098416 is a wasteful number, since it uses less digits than its factorization.

61536098416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17046 (or 17040 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 61536098416 in words is "sixty-one billion, five hundred thirty-six million, ninety-eight thousand, four hundred sixteen".