138884407329024 has 2160 divisors, whose sum is σ = 526185173606400. Its totient is φ = 36190573977600.

The previous prime is 138884407328977. The next prime is 138884407329049. The reversal of 138884407329024 is 420923704488831.

It is a happy number.

138884407329024 is a `hidden beast` number, since 1 + 3 + 8 + 88 + 440 + 7 + 3 + 2 + 90 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 143032344859 + ... + 143032345829.

It is an arithmetic number, because the mean of its divisors is an integer number (243604247040).

Almost surely, 2^{138884407329024} is an apocalyptic number.

138884407329024 is a gapful number since it is divisible by the number (14) 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 138884407329024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263092586803200).

138884407329024 is an abundant number, since it is smaller than the sum of its proper divisors (387300766277376).

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

138884407329024 is a wasteful number, since it uses less digits than its factorization.

138884407329024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 138884407329024 in words is "one hundred thirty-eight trillion, eight hundred eighty-four billion, four hundred seven million, three hundred twenty-nine thousand, twenty-four".