156643785648 has 360 divisors, whose sum is σ = 544529576448. Its totient is φ = 41812049664.

The previous prime is 156643785647. The next prime is 156643785707. The reversal of 156643785648 is 846587346651.

156643785648 is a `hidden beast` number, since 1 + 5 + 6 + 64 + 3 + 7 + 8 + 564 + 8 = 666.

156643785648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×156643785648³ (a number of 35 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (156643785647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6967161 + ... + 6989607.

Almost surely, 2^156643785648 is an apocalyptic number.

156643785648 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 156643785648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272264788224).

156643785648 is an abundant number, since it is smaller than the sum of its proper divisors (387885790800).

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

156643785648 is a wasteful number, since it uses less digits than its factorization.

156643785648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22541 (or 22525 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 156643785648 in words is "one hundred fifty-six billion, six hundred forty-three million, seven hundred eighty-five thousand, six hundred forty-eight".