147983803968 has 672 divisors, whose sum is σ = 553689682560. Its totient is φ = 34248130560.

The previous prime is 147983803889. The next prime is 147983804009. The reversal of 147983803968 is 869308389741.

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

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 147983803899 and 147983803908.

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, 39013080 + ... + 39016872.

It is an arithmetic number, because the mean of its divisors is an integer number (823942980).

Almost surely, 2^147983803968 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 147983803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276844841280).

147983803968 is an abundant number, since it is smaller than the sum of its proper divisors (405705878592).

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

147983803968 is a wasteful number, since it uses less digits than its factorization.

147983803968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 147983803968 in words is "one hundred forty-seven billion, nine hundred eighty-three million, eight hundred three thousand, nine hundred sixty-eight".