138478408464 has 160 divisors (see below), whose sum is σ = 408265012224. Its totient is φ = 40036170240.

The previous prime is 138478408447. The next prime is 138478408483. The reversal of 138478408464 is 464804874831.

It is a super-2 number, since 2×138478408464² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4806807 + ... + 4835529.

Almost surely, 2^138478408464 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 138478408464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204132506112).

138478408464 is an abundant number, since it is smaller than the sum of its proper divisors (269786603760).

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

138478408464 is a wasteful number, since it uses less digits than its factorization.

138478408464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29165 (or 29159 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 57.

The spelling of 138478408464 in words is "one hundred thirty-eight billion, four hundred seventy-eight million, four hundred eight thousand, four hundred sixty-four".