6145354465140 has 384 divisors, whose sum is σ = 19960048926720. Its totient is φ = 1398365337600.

The previous prime is 6145354465127. The next prime is 6145354465147. The reversal of 6145354465140 is 415644535416.

It is a super-2 number, since 2×6145354465140² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6145354465140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6145354465147) 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, 1070057109 + ... + 1070062851.

It is an arithmetic number, because the mean of its divisors is an integer number (51979294080).

Almost surely, 2^{6145354465140} is an apocalyptic number.

6145354465140 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 6145354465140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9980024463360).

6145354465140 is an abundant number, since it is smaller than the sum of its proper divisors (13814694461580).

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

6145354465140 is a wasteful number, since it uses less digits than its factorization.

6145354465140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7343 (or 7341 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 6145354465140 in words is "six trillion, one hundred forty-five billion, three hundred fifty-four million, four hundred sixty-five thousand, one hundred forty".