138116000929464 has 384 divisors, whose sum is σ = 403038260352000. Its totient is φ = 44282711176704.

The previous prime is 138116000929429. The next prime is 138116000929513. The reversal of 138116000929464 is 464929000611831.

138116000929464 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 1 + 600 + 0 + 9 + 29 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 138116000929464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2230920942 + ... + 2230982850.

It is an arithmetic number, because the mean of its divisors is an integer number (1049578803000).

Almost surely, 2^{138116000929464} 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 138116000929464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201519130176000).

138116000929464 is an abundant number, since it is smaller than the sum of its proper divisors (264922259422536).

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

138116000929464 is a wasteful number, since it uses less digits than its factorization.

138116000929464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62409 (or 62393 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 138116000929464 in words is "one hundred thirty-eight trillion, one hundred sixteen billion, nine hundred twenty-nine thousand, four hundred sixty-four".