138847996569600 has 432 divisors, whose sum is σ = 497461639753260. Its totient is φ = 37011338035200.

The previous prime is 138847996569539. The next prime is 138847996569613. The reversal of 138847996569600 is 6965699748831.

138847996569600 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 47 + 9 + 9 + 6 + 569 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18978081555456 + 119869915014144 = 4356384^2 + 10948512^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 138847996569600.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1178206680 + ... + 1178324520.

Almost surely, 2^{138847996569600} is an apocalyptic number.

138847996569600 is a gapful number since it is divisible by the number (10) 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 138847996569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248730819876630).

138847996569600 is an abundant number, since it is smaller than the sum of its proper divisors (358613643183660).

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

138847996569600 is a wasteful number, since it uses less digits than its factorization.

138847996569600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120436 (or 120408 counting only the distinct ones).

The product of its (nonzero) digits is 4232632320, while the sum is 81.

The spelling of 138847996569600 in words is "one hundred thirty-eight trillion, eight hundred forty-seven billion, nine hundred ninety-six million, five hundred sixty-nine thousand, six hundred".