156226452072768 has 1792 divisors, whose sum is σ = 603032784076800. Its totient is φ = 38959029043200.

The previous prime is 156226452072767. The next prime is 156226452072773. The reversal of 156226452072768 is 867270254622651.

156226452072768 is a `hidden beast` number, since 1 + 5 + 6 + 2 + 26 + 4 + 520 + 7 + 27 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156226452072767) 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 255 ways as a sum of consecutive naturals, for example, 59696770596 + ... + 59696773212.

It is an arithmetic number, because the mean of its divisors is an integer number (336513830400).

Almost surely, 2^{156226452072768} is an apocalyptic number.

156226452072768 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 156226452072768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301516392038400).

156226452072768 is an abundant number, since it is smaller than the sum of its proper divisors (446806332004032).

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

156226452072768 is a wasteful number, since it uses less digits than its factorization.

156226452072768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 156226452072768 in words is "one hundred fifty-six trillion, two hundred twenty-six billion, four hundred fifty-two million, seventy-two thousand, seven hundred sixty-eight".