10460451456 has 320 divisors, whose sum is σ = 38317466880. Its totient is φ = 2758551552.

The previous prime is 10460451413. The next prime is 10460451457. The reversal of 10460451456 is 65415406401.

10460451456 is a `hidden beast` number, since 1 + 0 + 4 + 604 + 5 + 1 + 45 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10460451456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10460451457) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 937945 + ... + 949031.

It is an arithmetic number, because the mean of its divisors is an integer number (119742084).

Almost surely, 2^10460451456 is an apocalyptic number.

10460451456 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 10460451456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19158733440).

10460451456 is an abundant number, since it is smaller than the sum of its proper divisors (27857015424).

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

10460451456 is a wasteful number, since it uses less digits than its factorization.

10460451456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11133 (or 11112 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 10460451456 its reverse (65415406401), we get a palindrome (75875857857).

The spelling of 10460451456 in words is "ten billion, four hundred sixty million, four hundred fifty-one thousand, four hundred fifty-six".