139865680424448 has 480 divisors, whose sum is σ = 466361656881120. Its totient is φ = 39881846292480.

The previous prime is 139865680424429. The next prime is 139865680424473. The reversal of 139865680424448 is 844424086568931.

139865680424448 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 65 + 6 + 80 + 42 + 4 + 448 = 666.

It is a super-2 number, since 2×139865680424448² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4788430068 + ... + 4788459276.

It is an arithmetic number, because the mean of its divisors is an integer number (971586785169).

Almost surely, 2^{139865680424448} is an apocalyptic number.

139865680424448 is a gapful number since it is divisible by the number (18) 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 139865680424448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233180828440560).

139865680424448 is an abundant number, since it is smaller than the sum of its proper divisors (326495976456672).

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

139865680424448 is a wasteful number, since it uses less digits than its factorization.

139865680424448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34818 (or 34799 counting only the distinct ones).

The product of its (nonzero) digits is 1274019840, while the sum is 72.

The spelling of 139865680424448 in words is "one hundred thirty-nine trillion, eight hundred sixty-five billion, six hundred eighty million, four hundred twenty-four thousand, four hundred forty-eight".