615116448 has 144 divisors (see below), whose sum is σ = 1849236480. Its totient is φ = 193632768.

The previous prime is 615116443. The next prime is 615116471. The reversal of 615116448 is 844611516.

615116448 is a `hidden beast` number, since 6 + 1 + 5 + 1 + 1 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (615116441) 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, 391761 + ... + 393327.

It is an arithmetic number, because the mean of its divisors is an integer number (12841920).

Almost surely, 2^615116448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 615116448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924618240).

615116448 is an abundant number, since it is smaller than the sum of its proper divisors (1234120032).

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

615116448 is a wasteful number, since it uses less digits than its factorization.

615116448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1648 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 615116448 is about 24801.5412424309. The cubic root of 615116448 is about 850.4571695245.

The spelling of 615116448 in words is "six hundred fifteen million, one hundred sixteen thousand, four hundred forty-eight".