139978904948352 has 640 divisors, whose sum is σ = 450260022516480. Its totient is φ = 43009118208000.

The previous prime is 139978904948341. The next prime is 139978904948359. The reversal of 139978904948352 is 253849409879931.

139978904948352 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 7 + 8 + 90 + 49 + 483 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (139978904948359) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1889603538 + ... + 1889677614.

It is an arithmetic number, because the mean of its divisors is an integer number (703531285182).

Almost surely, 2^{139978904948352} is an apocalyptic number.

139978904948352 is a gapful number since it is divisible by the number (12) 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 139978904948352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225130011258240).

139978904948352 is an abundant number, since it is smaller than the sum of its proper divisors (310281117568128).

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

139978904948352 is a wasteful number, since it uses less digits than its factorization.

139978904948352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74342 (or 74321 counting only the distinct ones).

The product of its (nonzero) digits is 4232632320, while the sum is 81.

The spelling of 139978904948352 in words is "one hundred thirty-nine trillion, nine hundred seventy-eight billion, nine hundred four million, nine hundred forty-eight thousand, three hundred fifty-two".