614643456064 has 189 divisors, whose sum is σ = 1372842594543. Its totient is φ = 272829216000.

The previous prime is 614643456061. The next prime is 614643456067. The reversal of 614643456064 is 460654346416.

The square root of 614643456064 is 783992.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (614643456061) and next prime (614643456067).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 614643455999 and 614643456017.

It is not an unprimeable number, because it can be changed into a prime (614643456061) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4070486389 + ... + 4070486539.

Almost surely, 2^614643456064 is an apocalyptic number.

614643456064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

614643456064 is the 783992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 614643456064

614643456064 is an abundant number, since it is smaller than the sum of its proper divisors (758199138479).

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

614643456064 is an equidigital number, since it uses as much as digits as its factorization.

614643456064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 49.

Multiplying 614643456064 by its sum of digits (49), we get a square (30117529347136 = 5487944²).

The spelling of 614643456064 in words is "six hundred fourteen billion, six hundred forty-three million, four hundred fifty-six thousand, sixty-four".