139643968464 has 960 divisors, whose sum is σ = 560337469440. Its totient is φ = 32366822400.

The previous prime is 139643968463. The next prime is 139643968483. The reversal of 139643968464 is 464869346931.

139643968464 is a `hidden beast` number, since 13 + 96 + 439 + 68 + 46 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139643968463) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 147458839 + ... + 147459785.

It is an arithmetic number, because the mean of its divisors is an integer number (583684864).

Almost surely, 2^139643968464 is an apocalyptic number.

139643968464 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 139643968464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280168734720).

139643968464 is an abundant number, since it is smaller than the sum of its proper divisors (420693500976).

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

139643968464 is a wasteful number, since it uses less digits than its factorization.

139643968464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1014 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 139643968464 in words is "one hundred thirty-nine billion, six hundred forty-three million, nine hundred sixty-eight thousand, four hundred sixty-four".