61388322388316 has 432 divisors, whose sum is σ = 146944562688000. Its totient is φ = 22181704796160.

The previous prime is 61388322388307. The next prime is 61388322388331.

61388322388316 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61388322388316² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34899557045 + ... + 34899558803.

Almost surely, 2^{61388322388316} 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 61388322388316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73472281344000).

61388322388316 is an abundant number, since it is smaller than the sum of its proper divisors (85556240299684).

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

61388322388316 is a wasteful number, since it uses less digits than its factorization.

61388322388316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 2584 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 62.

The spelling of 61388322388316 in words is "sixty-one trillion, three hundred eighty-eight billion, three hundred twenty-two million, three hundred eighty-eight thousand, three hundred sixteen".