6146374464 has 168 divisors, whose sum is σ = 18361444608. Its totient is φ = 1963560960.

The previous prime is 6146374447. The next prime is 6146374469. The reversal of 6146374464 is 4644736416.

6146374464 is a `hidden beast` number, since 6 + 1 + 4 + 637 + 4 + 4 + 6 + 4 = 666.

It is a super-2 number, since 2×6146374464² = 75555838103422574592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6146374469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1908984 + ... + 1912200.

Almost surely, 2^6146374464 is an apocalyptic number.

6146374464 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 6146374464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9180722304).

6146374464 is an abundant number, since it is smaller than the sum of its proper divisors (12215070144).

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

6146374464 is a wasteful number, since it uses less digits than its factorization.

6146374464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3360 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 6146374464 is about 78398.8167257644. The cubic root of 6146374464 is about 1831.7787023807.

The spelling of 6146374464 in words is "six billion, one hundred forty-six million, three hundred seventy-four thousand, four hundred sixty-four".