7146123264000 has 2560 divisors, whose sum is σ = 32420309201280. Its totient is φ = 1528823808000.

The previous prime is 7146123263899. The next prime is 7146123264001. The reversal of 7146123264000 is 4623216417.

7146123264000 is a `hidden beast` number, since 7 + 1 + 4 + 6 + 1 + 2 + 3 + 2 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7146123264001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 39481343910 + ... + 39481344090.

Almost surely, 2^{7146123264000} is an apocalyptic number.

7146123264000 is a gapful number since it is divisible by the number (70) 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 7146123264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16210154600640).

7146123264000 is an abundant number, since it is smaller than the sum of its proper divisors (25274185937280).

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

7146123264000 is an equidigital number, since it uses as much as digits as its factorization.

7146123264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 7146123264000 in words is "seven trillion, one hundred forty-six billion, one hundred twenty-three million, two hundred sixty-four thousand".