156865481283456 has 2048 divisors, whose sum is σ = 575637995520000. Its totient is φ = 41463075962880.

The previous prime is 156865481283451. The next prime is 156865481283481. The reversal of 156865481283456 is 654382184568651.

156865481283456 is a `hidden beast` number, since 1 + 5 + 6 + 8 + 6 + 5 + 48 + 128 + 3 + 456 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156865481283451) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 65387860945 + ... + 65387863343.

It is an arithmetic number, because the mean of its divisors is an integer number (281073240000).

Almost surely, 2^{156865481283456} is an apocalyptic number.

156865481283456 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 156865481283456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287818997760000).

156865481283456 is an abundant number, since it is smaller than the sum of its proper divisors (418772514236544).

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

156865481283456 is a wasteful number, since it uses less digits than its factorization.

156865481283456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2591 counting only the distinct ones).

The product of its digits is 1327104000, while the sum is 72.

The spelling of 156865481283456 in words is "one hundred fifty-six trillion, eight hundred sixty-five billion, four hundred eighty-one million, two hundred eighty-three thousand, four hundred fifty-six".