4168148121312 has 192 divisors, whose sum is σ = 12666016065024. Its totient is φ = 1175536465920.

The previous prime is 4168148121311. The next prime is 4168148121317. The reversal of 4168148121312 is 2131218418614.

It is a super-2 number, since 2×4168148121312² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4168148121311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65839818 + ... + 65903094.

It is an arithmetic number, because the mean of its divisors is an integer number (65968833672).

Almost surely, 2^{4168148121312} is an apocalyptic number.

4168148121312 is a gapful number since it is divisible by the number (42) 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 4168148121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6333008032512).

4168148121312 is an abundant number, since it is smaller than the sum of its proper divisors (8497867943712).

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

4168148121312 is a wasteful number, since it uses less digits than its factorization.

4168148121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64561 (or 64553 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The spelling of 4168148121312 in words is "four trillion, one hundred sixty-eight billion, one hundred forty-eight million, one hundred twenty-one thousand, three hundred twelve".