7145800955712 has 224 divisors, whose sum is σ = 21221959933440. Its totient is φ = 2357612697600.

The previous prime is 7145800955701. The next prime is 7145800955737. The reversal of 7145800955712 is 2175590085417.

7145800955712 is a `hidden beast` number, since 7 + 1 + 4 + 5 + 80 + 0 + 9 + 557 + 1 + 2 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1081546713 + ... + 1081553319.

It is an arithmetic number, because the mean of its divisors is an integer number (94740892560).

Almost surely, 2^{7145800955712} is an apocalyptic number.

7145800955712 is a gapful number since it is divisible by the number (72) 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 7145800955712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10610979966720).

7145800955712 is an abundant number, since it is smaller than the sum of its proper divisors (14076158977728).

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

7145800955712 is a wasteful number, since it uses less digits than its factorization.

7145800955712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12926 (or 12910 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 54.

The spelling of 7145800955712 in words is "seven trillion, one hundred forty-five billion, eight hundred million, nine hundred fifty-five thousand, seven hundred twelve".