10454978410056 has 192 divisors, whose sum is σ = 29688428689920. Its totient is φ = 3320064599040.

The previous prime is 10454978410049. The next prime is 10454978410057. The reversal of 10454978410056 is 65001487945401.

10454978410056 is a `hidden beast` number, since 1 + 0 + 4 + 549 + 7 + 8 + 41 + 0 + 0 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10454978409984 and 10454978410011.

It is not an unprimeable number, because it can be changed into a prime (10454978410057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644445961 + ... + 644462183.

It is an arithmetic number, because the mean of its divisors is an integer number (154627232760).

Almost surely, 2^{10454978410056} 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 10454978410056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14844214344960).

10454978410056 is an abundant number, since it is smaller than the sum of its proper divisors (19233450279864).

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

10454978410056 is a wasteful number, since it uses less digits than its factorization.

10454978410056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21396 (or 21389 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 10454978410056 in words is "ten trillion, four hundred fifty-four billion, nine hundred seventy-eight million, four hundred ten thousand, fifty-six".