456597681021300 has 864 divisors, whose sum is σ = 1782944613130240. Its totient is φ = 87745312972800.

The previous prime is 456597681021289. The next prime is 456597681021301. The reversal of 456597681021300 is 3120186795654.

It is a super-2 number, since 2×456597681021300² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456597681021301) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 243647271 + ... + 245514129.

It is a 1-persistent number, because it is pandigital, but 2⋅456597681021300 = 913195362042600 is not.

Almost surely, 2^{456597681021300} 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 456597681021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891472306565120).

456597681021300 is an abundant number, since it is smaller than the sum of its proper divisors (1326346932108940).

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

456597681021300 is a wasteful number, since it uses less digits than its factorization.

456597681021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866961 (or 1866937 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 456597681021300 in words is "four hundred fifty-six trillion, five hundred ninety-seven billion, six hundred eighty-one million, twenty-one thousand, three hundred".