139849134921216 has 720 divisors, whose sum is σ = 497294704249200. Its totient is φ = 37593918996480.

The previous prime is 139849134921191. The next prime is 139849134921239. The reversal of 139849134921216 is 612129431948931.

139849134921216 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 4 + 9 + 13 + 492 + 121 + 6 = 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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20270924935 + ... + 20270931833.

It is an arithmetic number, because the mean of its divisors is an integer number (690687089235).

Almost surely, 2^{139849134921216} is an apocalyptic number.

139849134921216 is a gapful number since it is divisible by the number (16) 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 139849134921216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248647352124600).

139849134921216 is an abundant number, since it is smaller than the sum of its proper divisors (357445569327984).

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

139849134921216 is a wasteful number, since it uses less digits than its factorization.

139849134921216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12235 (or 12209 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 139849134921216 in words is "one hundred thirty-nine trillion, eight hundred forty-nine billion, one hundred thirty-four million, nine hundred twenty-one thousand, two hundred sixteen".