21863796337152 has 1920 divisors, whose sum is σ = 85355322624000. Its totient is φ = 5370182737920.

The previous prime is 21863796337121. The next prime is 21863796337199. The reversal of 21863796337152 is 25173369736812.

21863796337152 is a `hidden beast` number, since 2 + 1 + 8 + 63 + 7 + 96 + 337 + 152 = 666.

It is a super-2 number, since 2×21863796337152² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21863796337152.

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, 39970376943 + ... + 39970377489.

It is an arithmetic number, because the mean of its divisors is an integer number (44455897200).

Almost surely, 2^{21863796337152} is an apocalyptic number.

21863796337152 is a gapful number since it is divisible by the number (22) 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 21863796337152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42677661312000).

21863796337152 is an abundant number, since it is smaller than the sum of its proper divisors (63491526286848).

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

21863796337152 is an equidigital number, since it uses as much as digits as its factorization.

21863796337152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 589 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 21863796337152 in words is "twenty-one trillion, eight hundred sixty-three billion, seven hundred ninety-six million, three hundred thirty-seven thousand, one hundred fifty-two".