614580085416 has 128 divisors (see below), whose sum is σ = 1683825978240. Its totient is φ = 185382912000.

The previous prime is 614580085331. The next prime is 614580085429.

614580085416 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56002906 + ... + 56013878.

It is an arithmetic number, because the mean of its divisors is an integer number (13154890455).

Almost surely, 2^614580085416 is an apocalyptic number.

614580085416 is a gapful number since it is divisible by the number (66) 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 614580085416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841912989120).

614580085416 is an abundant number, since it is smaller than the sum of its proper divisors (1069245892824).

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

614580085416 is a wasteful number, since it uses less digits than its factorization.

614580085416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11947 (or 11943 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 614580085416 in words is "six hundred fourteen billion, five hundred eighty million, eighty-five thousand, four hundred sixteen".