1234564416 has 196 divisors, whose sum is σ = 3757891392. Its totient is φ = 402050304.

The previous prime is 1234564313. The next prime is 1234564417. The reversal of 1234564416 is 6144654321.

1234564416 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 5 + 644 + 1 + 6 = 666.

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

Its product of digits (69120) is a multiple of the sum of its prime factors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234564417) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2192551 + ... + 2193113.

Almost surely, 2^1234564416 is an apocalyptic number.

1234564416 is a gapful number since it is divisible by the number (16) 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 1234564416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878945696).

1234564416 is an abundant number, since it is smaller than the sum of its proper divisors (2523326976).

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

1234564416 is an frugal number, since it uses more digits than its factorization.

1234564416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 615 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1234564416 is about 35136.3688505230. The cubic root of 1234564416 is about 1072.7649734071.

The spelling of 1234564416 in words is "one billion, two hundred thirty-four million, five hundred sixty-four thousand, four hundred sixteen".