1465616000 has 128 divisors (see below), whose sum is σ = 3675672000. Its totient is φ = 581145600.

The previous prime is 1465615981. The next prime is 1465616003. The reversal of 1465616000 is 6165641.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1465616003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2223671 + ... + 2224329.

Almost surely, 2^1465616000 is an apocalyptic number.

1465616000 is a gapful number since it is divisible by the number (10) 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 1465616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837836000).

1465616000 is an abundant number, since it is smaller than the sum of its proper divisors (2210056000).

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

1465616000 is an equidigital number, since it uses as much as digits as its factorization.

1465616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1465616000 is about 38283.3645334367. The cubic root of 1465616000 is about 1135.8999118326.

The spelling of 1465616000 in words is "one billion, four hundred sixty-five million, six hundred sixteen thousand".