138889918878048 has 288 divisors, whose sum is σ = 439189296279552. Its totient is φ = 41345690803200.

The previous prime is 138889918878043. The next prime is 138889918878089. The reversal of 138889918878048 is 840878819988831.

138889918878048 is a `hidden beast` number, since 1 + 388 + 8 + 9 + 9 + 188 + 7 + 8 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×138889918878048² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138889918878041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437054253 + ... + 437371923.

It is an arithmetic number, because the mean of its divisors is an integer number (1524962834304).

Almost surely, 2^{138889918878048} is an apocalyptic number.

138889918878048 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 138889918878048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219594648139776).

138889918878048 is an abundant number, since it is smaller than the sum of its proper divisors (300299377401504).

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

138889918878048 is a wasteful number, since it uses less digits than its factorization.

138889918878048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321498 (or 321487 counting only the distinct ones).

The product of its (nonzero) digits is 14269022208, while the sum is 90.

The spelling of 138889918878048 in words is "one hundred thirty-eight trillion, eight hundred eighty-nine billion, nine hundred eighteen million, eight hundred seventy-eight thousand, forty-eight".