147982970391264 has 336 divisors, whose sum is σ = 446195809362240. Its totient is φ = 48268442557440.

The previous prime is 147982970391253. The next prime is 147982970391271. The reversal of 147982970391264 is 462193079289741.

147982970391264 is a `hidden beast` number, since 1 + 4 + 7 + 98 + 2 + 97 + 0 + 391 + 2 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 147982970391192 and 147982970391201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7215503442 + ... + 7215523950.

It is an arithmetic number, because the mean of its divisors is an integer number (1327963718340).

Almost surely, 2^{147982970391264} 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 147982970391264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223097904681120).

147982970391264 is an abundant number, since it is smaller than the sum of its proper divisors (298212838970976).

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

147982970391264 is an equidigital number, since it uses as much as digits as its factorization.

147982970391264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27165 (or 27142 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 147982970391264 in words is "one hundred forty-seven trillion, nine hundred eighty-two billion, nine hundred seventy million, three hundred ninety-one thousand, two hundred sixty-four".