138948914676672 has 560 divisors, whose sum is σ = 439959359904768. Its totient is φ = 43208382873600.

The previous prime is 138948914676601. The next prime is 138948914676679. The reversal of 138948914676672 is 276676419849831.

138948914676672 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 4 + 8 + 91 + 467 + 6 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 138948914676591 and 138948914676600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138948914676679) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13441894288 + ... + 13441904624.

Almost surely, 2^{138948914676672} is an apocalyptic number.

138948914676672 is a gapful number since it is divisible by the number (12) 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 138948914676672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219979679952384).

138948914676672 is an abundant number, since it is smaller than the sum of its proper divisors (301010445228096).

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

138948914676672 is a wasteful number, since it uses less digits than its factorization.

138948914676672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11706 (or 11687 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 81.

The spelling of 138948914676672 in words is "one hundred thirty-eight trillion, nine hundred forty-eight billion, nine hundred fourteen million, six hundred seventy-six thousand, six hundred seventy-two".