153862281216 has 576 divisors, whose sum is σ = 545194540800. Its totient is φ = 42416898048.

The previous prime is 153862281211. The next prime is 153862281233. The reversal of 153862281216 is 612182268351.

153862281216 is a `hidden beast` number, since 1 + 5 + 3 + 8 + 622 + 8 + 1 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153862281211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101025031 + ... + 101026553.

It is an arithmetic number, because the mean of its divisors is an integer number (946518300).

Almost surely, 2^153862281216 is an apocalyptic number.

153862281216 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 153862281216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272597270400).

153862281216 is an abundant number, since it is smaller than the sum of its proper divisors (391332259584).

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

153862281216 is an equidigital number, since it uses as much as digits as its factorization.

153862281216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1564 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 153862281216 in words is "one hundred fifty-three billion, eight hundred sixty-two million, two hundred eighty-one thousand, two hundred sixteen".