10450461254904 has 960 divisors, whose sum is σ = 34793694270720. Its totient is φ = 2900514355200.

The previous prime is 10450461254837. The next prime is 10450461254911. The reversal of 10450461254904 is 40945216405401.

10450461254904 is a `hidden beast` number, since 1 + 0 + 4 + 50 + 46 + 12 + 549 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10450461254904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17803170499 + ... + 17803171085.

It is an arithmetic number, because the mean of its divisors is an integer number (36243431532).

Almost surely, 2^{10450461254904} 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 10450461254904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17396847135360).

10450461254904 is an abundant number, since it is smaller than the sum of its proper divisors (24343233015816).

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

10450461254904 is a wasteful number, since it uses less digits than its factorization.

10450461254904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 10450461254904 in words is "ten trillion, four hundred fifty billion, four hundred sixty-one million, two hundred fifty-four thousand, nine hundred four".