10454953889376 has 144 divisors (see below), whose sum is σ = 30093314574960. Its totient is φ = 3442558479360.

The previous prime is 10454953889333. The next prime is 10454953889407. The reversal of 10454953889376 is 67398835945401.

10454953889376 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 4 + 9 + 538 + 89 + 3 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226132630 + ... + 226178858.

It is an arithmetic number, because the mean of its divisors is an integer number (208981351215).

Almost surely, 2^{10454953889376} is an apocalyptic number.

10454953889376 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 10454953889376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15046657287480).

10454953889376 is an abundant number, since it is smaller than the sum of its proper divisors (19638360685584).

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

10454953889376 is a wasteful number, since it uses less digits than its factorization.

10454953889376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55789 (or 55778 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 10454953889376 in words is "ten trillion, four hundred fifty-four billion, nine hundred fifty-three million, eight hundred eighty-nine thousand, three hundred seventy-six".