725616451456 has 128 divisors (see below), whose sum is σ = 1563821249760. Its totient is φ = 333385113600.

The previous prime is 725616451453. The next prime is 725616451459. The reversal of 725616451456 is 654154616527.

It is an interprime number because it is at equal distance from previous prime (725616451453) and next prime (725616451459).

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

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725616451453) 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, 500079531 + ... + 500080981.

Almost surely, 2^725616451456 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 725616451456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781910624880).

725616451456 is an abundant number, since it is smaller than the sum of its proper divisors (838204798304).

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

725616451456 is a wasteful number, since it uses less digits than its factorization.

725616451456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2620 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 52.

The spelling of 725616451456 in words is "seven hundred twenty-five billion, six hundred sixteen million, four hundred fifty-one thousand, four hundred fifty-six".