6413966197254 has 256 divisors, whose sum is σ = 18114113617920. Its totient is φ = 1633976064000.

The previous prime is 6413966197237. The next prime is 6413966197277. The reversal of 6413966197254 is 4527916693146.

It is a happy number.

6413966197254 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 9 + 6 + 619 + 7 + 2 + 5 + 4 = 666.

It is a super-2 number, since 2×6413966197254² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 6413966197191 and 6413966197200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56920789 + ... + 57033359.

It is an arithmetic number, because the mean of its divisors is an integer number (70758256320).

Almost surely, 2^{6413966197254} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6413966197254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9057056808960).

6413966197254 is an abundant number, since it is smaller than the sum of its proper divisors (11700147420666).

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

6413966197254 is a wasteful number, since it uses less digits than its factorization.

6413966197254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112864 (or 112858 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 6413966197254 in words is "six trillion, four hundred thirteen billion, nine hundred sixty-six million, one hundred ninety-seven thousand, two hundred fifty-four".