412368591168 has 448 divisors, whose sum is σ = 1288096992000. Its totient is φ = 129159733248.

The previous prime is 412368591101. The next prime is 412368591199. The reversal of 412368591168 is 861195863214.

It is a happy number.

412368591168 is a `hidden beast` number, since 4 + 1 + 2 + 36 + 8 + 591 + 16 + 8 = 666.

It is a super-2 number, since 2×412368591168² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 369174546 + ... + 369175662.

It is an arithmetic number, because the mean of its divisors is an integer number (2875216500).

Almost surely, 2^412368591168 is an apocalyptic number.

412368591168 is a gapful number since it is divisible by the number (48) 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 412368591168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644048496000).

412368591168 is an abundant number, since it is smaller than the sum of its proper divisors (875728400832).

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

412368591168 is a wasteful number, since it uses less digits than its factorization.

412368591168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1343 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 412368591168 in words is "four hundred twelve billion, three hundred sixty-eight million, five hundred ninety-one thousand, one hundred sixty-eight".