148562956579968 has 512 divisors, whose sum is σ = 503166604492800. Its totient is φ = 42272082800640.

The previous prime is 148562956579949. The next prime is 148562956579969. The reversal of 148562956579968 is 869975659265841.

148562956579968 is a `hidden beast` number, since 1 + 4 + 8 + 5 + 6 + 29 + 5 + 6 + 579 + 9 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (148562956579969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28367947846 + ... + 28367953082.

It is an arithmetic number, because the mean of its divisors is an integer number (982747274400).

Almost surely, 2^{148562956579968} is an apocalyptic number.

148562956579968 is a gapful number since it is divisible by the number (18) 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 148562956579968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251583302246400).

148562956579968 is an abundant number, since it is smaller than the sum of its proper divisors (354603647912832).

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

148562956579968 is a wasteful number, since it uses less digits than its factorization.

148562956579968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9865 (or 9847 counting only the distinct ones).

The product of its digits is 70543872000, while the sum is 90.

The spelling of 148562956579968 in words is "one hundred forty-eight trillion, five hundred sixty-two billion, nine hundred fifty-six million, five hundred seventy-nine thousand, nine hundred sixty-eight".