10454585904 has 180 divisors, whose sum is σ = 34112302536. Its totient is φ = 2980260864.

The previous prime is 10454585903. The next prime is 10454585951. The reversal of 10454585904 is 40958545401.

10454585904 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 4 + 58 + 590 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10454585904.

It is not an unprimeable number, because it can be changed into a prime (10454585903) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3688872 + ... + 3691704.

Almost surely, 2^10454585904 is an apocalyptic number.

10454585904 is a gapful number since it is divisible by the number (14) 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 10454585904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17056151268).

10454585904 is an abundant number, since it is smaller than the sum of its proper divisors (23657716632).

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

10454585904 is a wasteful number, since it uses less digits than its factorization.

10454585904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 10454585904 in words is "ten billion, four hundred fifty-four million, five hundred eighty-five thousand, nine hundred four".