338616905045692 has 192 divisors, whose sum is σ = 775899038638080. Its totient is φ = 125479774715904.

The previous prime is 338616905045459. The next prime is 338616905045719. The reversal of 338616905045692 is 296540509616833.

It is a super-2 number, since 2×338616905045692² (a number of 30 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 63 ways as a sum of consecutive naturals, for example, 5545884028 + ... + 5545945084.

It is an arithmetic number, because the mean of its divisors is an integer number (4041140826240).

Almost surely, 2^{338616905045692} 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 338616905045692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387949519319040).

338616905045692 is an abundant number, since it is smaller than the sum of its proper divisors (437282133592388).

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

338616905045692 is a wasteful number, since it uses less digits than its factorization.

338616905045692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65340 (or 65338 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 67.

The spelling of 338616905045692 in words is "three hundred thirty-eight trillion, six hundred sixteen billion, nine hundred five million, forty-five thousand, six hundred ninety-two".