106850451456 has 576 divisors, whose sum is σ = 371479642560. Its totient is φ = 30098718720.

The previous prime is 106850451437. The next prime is 106850451497. The reversal of 106850451456 is 654154058601.

106850451456 is a `hidden beast` number, since 1 + 0 + 6 + 85 + 0 + 4 + 514 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×106850451456² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1504935901 + ... + 1504935971.

It is an arithmetic number, because the mean of its divisors is an integer number (644929935).

Almost surely, 2^106850451456 is an apocalyptic number.

106850451456 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 106850451456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185739821280).

106850451456 is an abundant number, since it is smaller than the sum of its proper divisors (264629191104).

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

106850451456 is an frugal number, since it uses more digits than its factorization.

106850451456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 83 counting only the distinct ones).

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

The spelling of 106850451456 in words is "one hundred six billion, eight hundred fifty million, four hundred fifty-one thousand, four hundred fifty-six".