61689709354112 has 192 divisors, whose sum is σ = 146316212380800. Its totient is φ = 25818454480896.

The previous prime is 61689709354099. The next prime is 61689709354121. The reversal of 61689709354112 is 21145390798616.

It is a happy number.

It is a super-2 number, since 2×61689709354112² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1548844214 + ... + 1548884042.

It is an arithmetic number, because the mean of its divisors is an integer number (762063606150).

It is a 1-persistent number, because it is pandigital, but 2⋅61689709354112 = 123379418708224 is not.

Almost surely, 2^{61689709354112} 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 61689709354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73158106190400).

61689709354112 is an abundant number, since it is smaller than the sum of its proper divisors (84626503026688).

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

61689709354112 is a wasteful number, since it uses less digits than its factorization.

61689709354112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45643 (or 45624 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 62.

The spelling of 61689709354112 in words is "sixty-one trillion, six hundred eighty-nine billion, seven hundred nine million, three hundred fifty-four thousand, one hundred twelve".