139911412972968 has 1008 divisors, whose sum is σ = 496189953567900. Its totient is φ = 36843810232320.

The previous prime is 139911412972909. The next prime is 139911412972973. The reversal of 139911412972968 is 869279214119931.

139911412972968 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 1 + 1 + 41 + 297 + 296 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 76965564092004 + 62945848880964 = 8773002^2 + 7933842^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 139911412972896 and 139911412972905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 39070484938 + ... + 39070488518.

Almost surely, 2^{139911412972968} is an apocalyptic number.

139911412972968 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 139911412972968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248094976783950).

139911412972968 is an abundant number, since it is smaller than the sum of its proper divisors (356278540594932).

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

139911412972968 is a wasteful number, since it uses less digits than its factorization.

139911412972968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4415 counting only the distinct ones).

The product of its digits is 105815808, while the sum is 72.

The spelling of 139911412972968 in words is "one hundred thirty-nine trillion, nine hundred eleven billion, four hundred twelve million, nine hundred seventy-two thousand, nine hundred sixty-eight".