148802565666816 has 2304 divisors, whose sum is σ = 516792910233600. Its totient is φ = 42475311857664.

The previous prime is 148802565666787. The next prime is 148802565666871. The reversal of 148802565666816 is 618666565208841.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 755342972830 + ... + 755342973026.

It is an arithmetic number, because the mean of its divisors is an integer number (224302478400).

Almost surely, 2^{148802565666816} is an apocalyptic number.

148802565666816 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 148802565666816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258396455116800).

148802565666816 is an abundant number, since it is smaller than the sum of its proper divisors (367990344566784).

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

148802565666816 is a wasteful number, since it uses less digits than its factorization.

148802565666816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 72.

The spelling of 148802565666816 in words is "one hundred forty-eight trillion, eight hundred two billion, five hundred sixty-five million, six hundred sixty-six thousand, eight hundred sixteen".