10444445676450 has 384 divisors, whose sum is σ = 29234243174400. Its totient is φ = 2741708736000.

The previous prime is 10444445676449. The next prime is 10444445676461. The reversal of 10444445676450 is 5467654444401.

10444445676450 is a `hidden beast` number, since 1 + 0 + 44 + 44 + 45 + 6 + 76 + 450 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18355791766 + ... + 18355792334.

It is an arithmetic number, because the mean of its divisors is an integer number (76130841600).

Almost surely, 2^{10444445676450} is an apocalyptic number.

10444445676450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10444445676450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14617121587200).

10444445676450 is an abundant number, since it is smaller than the sum of its proper divisors (18789797497950).

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

10444445676450 is a wasteful number, since it uses less digits than its factorization.

10444445676450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 54.

The spelling of 10444445676450 in words is "ten trillion, four hundred forty-four billion, four hundred forty-five million, six hundred seventy-six thousand, four hundred fifty".