147970608382080 has 4096 divisors, whose sum is σ = 651293274931200. Its totient is φ = 31321069977600.

The previous prime is 147970608381991. The next prime is 147970608382081. The reversal of 147970608382080 is 80283806079741.

147970608382080 is a `hidden beast` number, since 1 + 479 + 7 + 0 + 6 + 0 + 8 + 3 + 82 + 0 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 147970608381999 and 147970608382017.

It is not an unprimeable number, because it can be changed into a prime (147970608382081) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 249528850264 + ... + 249528850856.

It is an arithmetic number, because the mean of its divisors is an integer number (159007147200).

Almost surely, 2^{147970608382080} is an apocalyptic number.

147970608382080 is a gapful number since it is divisible by the number (10) 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 147970608382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325646637465600).

147970608382080 is an abundant number, since it is smaller than the sum of its proper divisors (503322666549120).

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

147970608382080 is a wasteful number, since it uses less digits than its factorization.

147970608382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 147970608382080 in words is "one hundred forty-seven trillion, nine hundred seventy billion, six hundred eight million, three hundred eighty-two thousand, eighty".