61384155148316 has 192 divisors, whose sum is σ = 148253170738176. Its totient is φ = 21468000153600.

The previous prime is 61384155148307. The next prime is 61384155148339.

61384155148316 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22700051 + ... + 25259861.

It is an arithmetic number, because the mean of its divisors is an integer number (772151930928).

Almost surely, 2^{61384155148316} 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 61384155148316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74126585369088).

61384155148316 is an abundant number, since it is smaller than the sum of its proper divisors (86869015589860).

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

61384155148316 is a wasteful number, since it uses less digits than its factorization.

61384155148316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560012 (or 2560010 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 56.

The spelling of 61384155148316 in words is "sixty-one trillion, three hundred eighty-four billion, one hundred fifty-five million, one hundred forty-eight thousand, three hundred sixteen".