7148445855840 has 384 divisors, whose sum is σ = 26484237964800. Its totient is φ = 1797715261440.

The previous prime is 7148445855829. The next prime is 7148445855851. The reversal of 7148445855840 is 485585448417.

7148445855840 is a `hidden beast` number, since 7 + 1 + 4 + 8 + 4 + 4 + 585 + 5 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (7148445855829) and next prime (7148445855851).

It is a super-3 number, since 3×7148445855840³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 4723555 + ... + 6050525.

It is an arithmetic number, because the mean of its divisors is an integer number (68969369700).

Almost surely, 2^{7148445855840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7148445855840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13242118982400).

7148445855840 is an abundant number, since it is smaller than the sum of its proper divisors (19335792108960).

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

7148445855840 is a wasteful number, since it uses less digits than its factorization.

7148445855840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327067 (or 1327053 counting only the distinct ones).

The product of its (nonzero) digits is 114688000, while the sum is 63.

The spelling of 7148445855840 in words is "seven trillion, one hundred forty-eight billion, four hundred forty-five million, eight hundred fifty-five thousand, eight hundred forty".