148846645702656 has 832 divisors, whose sum is σ = 511104560486400. Its totient is φ = 42372307353600.

The previous prime is 148846645702597. The next prime is 148846645702753. The reversal of 148846645702656 is 656207546648841.

148846645702656 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 46 + 6 + 4 + 570 + 2 + 6 + 5 + 6 = 666.

148846645702656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1305260361 + ... + 1305374391.

Almost surely, 2^{148846645702656} is an apocalyptic number.

148846645702656 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 148846645702656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255552280243200).

148846645702656 is an abundant number, since it is smaller than the sum of its proper divisors (362257914783744).

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

148846645702656 is a wasteful number, since it uses less digits than its factorization.

148846645702656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114141 (or 114113 counting only the distinct ones).

The product of its (nonzero) digits is 1857945600, while the sum is 72.

The spelling of 148846645702656 in words is "one hundred forty-eight trillion, eight hundred forty-six billion, six hundred forty-five million, seven hundred two thousand, six hundred fifty-six".