6197252142144 has 448 divisors, whose sum is σ = 20498946048000. Its totient is φ = 1612414771200.

The previous prime is 6197252142043. The next prime is 6197252142157. The reversal of 6197252142144 is 4412412527916.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×6197252142144² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 6197252142093 and 6197252142102.

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, 117924514 + ... + 117977054.

It is an arithmetic number, because the mean of its divisors is an integer number (45756576000).

Almost surely, 2^{6197252142144} is an apocalyptic number.

6197252142144 is a gapful number since it is divisible by the number (64) 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 6197252142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10249473024000).

6197252142144 is an abundant number, since it is smaller than the sum of its proper divisors (14301693905856).

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

6197252142144 is a wasteful number, since it uses less digits than its factorization.

6197252142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52762 (or 52752 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The spelling of 6197252142144 in words is "six trillion, one hundred ninety-seven billion, two hundred fifty-two million, one hundred forty-two thousand, one hundred forty-four".