106449841944576 has 384 divisors, whose sum is σ = 339662225448000. Its totient is φ = 32746453991424.

The previous prime is 106449841944529. The next prime is 106449841944599. The reversal of 106449841944576 is 675449148944601.

106449841944576 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 4 + 9 + 8 + 4 + 1 + 9 + 44 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106449841944576² (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3816350086 + ... + 3816377978.

Almost surely, 2^{106449841944576} is an apocalyptic number.

106449841944576 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 106449841944576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169831112724000).

106449841944576 is an abundant number, since it is smaller than the sum of its proper divisors (233212383503424).

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

106449841944576 is a wasteful number, since it uses less digits than its factorization.

106449841944576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33246 (or 33220 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 106449841944576 in words is "one hundred six trillion, four hundred forty-nine billion, eight hundred forty-one million, nine hundred forty-four thousand, five hundred seventy-six".