159227296445952 has 1280 divisors, whose sum is σ = 561066672291840. Its totient is φ = 43643606630400.

The previous prime is 159227296445933. The next prime is 159227296445989. The reversal of 159227296445952 is 259544692722951.

159227296445952 is a `hidden beast` number, since 1 + 5 + 9 + 2 + 2 + 7 + 2 + 96 + 445 + 95 + 2 = 666.

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 127 ways as a sum of consecutive naturals, for example, 91879570078 + ... + 91879571810.

It is an arithmetic number, because the mean of its divisors is an integer number (438333337728).

Almost surely, 2^{159227296445952} is an apocalyptic number.

159227296445952 is a gapful number since it is divisible by the number (12) 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 159227296445952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280533336145920).

159227296445952 is an abundant number, since it is smaller than the sum of its proper divisors (401839375845888).

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

159227296445952 is a wasteful number, since it uses less digits than its factorization.

159227296445952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2170 counting only the distinct ones).

The product of its digits is 979776000, while the sum is 72.

The spelling of 159227296445952 in words is "one hundred fifty-nine trillion, two hundred twenty-seven billion, two hundred ninety-six million, four hundred forty-five thousand, nine hundred fifty-two".