1536982626816 has 1920 divisors, whose sum is σ = 6100942848000. Its totient is φ = 368709304320.

The previous prime is 1536982626769. The next prime is 1536982626841. The reversal of 1536982626816 is 6186262896351.

It is a happy number.

1536982626816 is a `hidden beast` number, since 1 + 5 + 369 + 8 + 2 + 6 + 268 + 1 + 6 = 666.

It is a super-3 number, since 3×1536982626816³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 12102225345 + ... + 12102225471.

It is an arithmetic number, because the mean of its divisors is an integer number (3177574400).

Almost surely, 2^{1536982626816} is an apocalyptic number.

1536982626816 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 1536982626816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050471424000).

1536982626816 is an abundant number, since it is smaller than the sum of its proper divisors (4563960221184).

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

1536982626816 is a wasteful number, since it uses less digits than its factorization.

1536982626816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 202 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 1536982626816 in words is "one trillion, five hundred thirty-six billion, nine hundred eighty-two million, six hundred twenty-six thousand, eight hundred sixteen".