139094693837568 has 1728 divisors, whose sum is σ = 503817874560000. Its totient is φ = 36022146564096.

The previous prime is 139094693837557. The next prime is 139094693837591. The reversal of 139094693837568 is 865738396490931.

139094693837568 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 9 + 46 + 9 + 3 + 8 + 3 + 7 + 568 = 666.

It is a super-3 number, since 3×139094693837568³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 309787736608 + ... + 309787737056.

It is an arithmetic number, because the mean of its divisors is an integer number (291561270000).

Almost surely, 2^{139094693837568} is an apocalyptic number.

139094693837568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139094693837568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251908937280000).

139094693837568 is an abundant number, since it is smaller than the sum of its proper divisors (364723180722432).

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

139094693837568 is a wasteful number, since it uses less digits than its factorization.

139094693837568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 6348948480, while the sum is 81.

The spelling of 139094693837568 in words is "one hundred thirty-nine trillion, ninety-four billion, six hundred ninety-three million, eight hundred thirty-seven thousand, five hundred sixty-eight".