139964616705312 has 432 divisors, whose sum is σ = 469157965436160. Its totient is φ = 39459340118016.

The previous prime is 139964616705223. The next prime is 139964616705313. The reversal of 139964616705312 is 213507616469931.

139964616705312 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 6 + 4 + 616 + 7 + 0 + 5 + 3 + 1 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 139964616705312.

It is not an unprimeable number, because it can be changed into a prime (139964616705313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1847265253 + ... + 1847341019.

It is an arithmetic number, because the mean of its divisors is an integer number (1086013808880).

Almost surely, 2^{139964616705312} is an apocalyptic number.

139964616705312 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 139964616705312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234578982718080).

139964616705312 is an abundant number, since it is smaller than the sum of its proper divisors (329193348730848).

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

139964616705312 is a wasteful number, since it uses less digits than its factorization.

139964616705312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77533 (or 77515 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 139964616705312 in words is "one hundred thirty-nine trillion, nine hundred sixty-four billion, six hundred sixteen million, seven hundred five thousand, three hundred twelve".