10454576014080 has 864 divisors, whose sum is σ = 41920218482688. Its totient is φ = 2472593817600.

The previous prime is 10454576014079. The next prime is 10454576014097. The reversal of 10454576014080 is 8041067545401.

10454576014080 is a `hidden beast` number, since 1 + 0 + 4 + 545 + 7 + 60 + 1 + 40 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140241777 + ... + 140316303.

It is an arithmetic number, because the mean of its divisors is an integer number (48518771392).

Almost surely, 2^{10454576014080} is an apocalyptic number.

10454576014080 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 10454576014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20960109241344).

10454576014080 is an abundant number, since it is smaller than the sum of its proper divisors (31465642468608).

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

10454576014080 is an equidigital number, since it uses as much as digits as its factorization.

10454576014080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74615 (or 74589 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 10454576014080 in words is "ten trillion, four hundred fifty-four billion, five hundred seventy-six million, fourteen thousand, eighty".