148868704656 has 640 divisors, whose sum is σ = 520766668800. Its totient is φ = 39833026560.

The previous prime is 148868704643. The next prime is 148868704679. The reversal of 148868704656 is 656407868841.

148868704656 is a `hidden beast` number, since 1 + 48 + 8 + 68 + 70 + 465 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 148868704593 and 148868704602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 343807416 + ... + 343807848.

It is an arithmetic number, because the mean of its divisors is an integer number (813697920).

Almost surely, 2^148868704656 is an apocalyptic number.

148868704656 is a gapful number since it is divisible by the number (16) 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 148868704656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260383334400).

148868704656 is an abundant number, since it is smaller than the sum of its proper divisors (371897964144).

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

148868704656 is a wasteful number, since it uses less digits than its factorization.

148868704656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 148868704656 in words is "one hundred forty-eight billion, eight hundred sixty-eight million, seven hundred four thousand, six hundred fifty-six".