6148197483840 has 1120 divisors, whose sum is σ = 24457989346560. Its totient is φ = 1458004230144.

The previous prime is 6148197483833. The next prime is 6148197483871. The reversal of 6148197483840 is 483847918416.

6148197483840 is a `hidden beast` number, since 6 + 1 + 481 + 9 + 74 + 8 + 3 + 84 + 0 = 666.

It is a super-2 number, since 2×6148197483840² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 841178106 + ... + 841185414.

It is an arithmetic number, because the mean of its divisors is an integer number (21837490488).

Almost surely, 2^{6148197483840} is an apocalyptic number.

6148197483840 is a gapful number since it is divisible by the number (60) 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 6148197483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12228994673280).

6148197483840 is an abundant number, since it is smaller than the sum of its proper divisors (18309791862720).

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

6148197483840 is a wasteful number, since it uses less digits than its factorization.

6148197483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7461 (or 7442 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 6148197483840 in words is "six trillion, one hundred forty-eight billion, one hundred ninety-seven million, four hundred eighty-three thousand, eight hundred forty".