139946946877248 has 672 divisors, whose sum is σ = 444360244648320. Its totient is φ = 38735936225280.

The previous prime is 139946946877187. The next prime is 139946946877261. The reversal of 139946946877248 is 842778649649931.

139946946877248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29947985440 + ... + 29947990112.

It is an arithmetic number, because the mean of its divisors is an integer number (661250364060).

Almost surely, 2^{139946946877248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139946946877248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222180122324160).

139946946877248 is an abundant number, since it is smaller than the sum of its proper divisors (304413297771072).

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

139946946877248 is a wasteful number, since it uses less digits than its factorization.

139946946877248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5335 (or 5318 counting only the distinct ones).

The product of its digits is 31603654656, while the sum is 87.

The spelling of 139946946877248 in words is "one hundred thirty-nine trillion, nine hundred forty-six billion, nine hundred forty-six million, eight hundred seventy-seven thousand, two hundred forty-eight".