4146114964992 has 1280 divisors, whose sum is σ = 15729169268736. Its totient is φ = 935608320000.

The previous prime is 4146114964951. The next prime is 4146114964993. The reversal of 4146114964992 is 2994694116414.

It is a happy number.

4146114964992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4146114964992² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4146114964993) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1763552617 + ... + 1763554967.

Almost surely, 2^{4146114964992} is an apocalyptic number.

4146114964992 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 4146114964992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7864584634368).

4146114964992 is an abundant number, since it is smaller than the sum of its proper divisors (11583054303744).

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

4146114964992 is a wasteful number, since it uses less digits than its factorization.

4146114964992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2455 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 60.

The spelling of 4146114964992 in words is "four trillion, one hundred forty-six billion, one hundred fourteen million, nine hundred sixty-four thousand, nine hundred ninety-two".