162586780248816 has 2880 divisors, whose sum is σ = 646547731153920. Its totient is φ = 37988882841600.

The previous prime is 162586780248727. The next prime is 162586780248941. The reversal of 162586780248816 is 618842087685261.

It is a happy number.

162586780248816 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 8 + 67 + 80 + 2 + 488 + 1 + 6 = 666.

It is a super-2 number, since 2×162586780248816² (a number of 29 digits) contains 22 as substring.

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 575 ways as a sum of consecutive naturals, for example, 842418550416 + ... + 842418550608.

It is an arithmetic number, because the mean of its divisors is an integer number (224495739984).

Almost surely, 2^{162586780248816} is an apocalyptic number.

162586780248816 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 162586780248816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323273865576960).

162586780248816 is an abundant number, since it is smaller than the sum of its proper divisors (483960950905104).

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

162586780248816 is a wasteful number, since it uses less digits than its factorization.

162586780248816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 162586780248816 in words is "one hundred sixty-two trillion, five hundred eighty-six billion, seven hundred eighty million, two hundred forty-eight thousand, eight hundred sixteen".