44806406456448 has 1536 divisors, whose sum is σ = 171416589926400. Its totient is φ = 11332167598080.

The previous prime is 44806406456447. The next prime is 44806406456467. The reversal of 44806406456448 is 84465460460844.

44806406456448 is a `hidden beast` number, since 4 + 4 + 8 + 0 + 6 + 4 + 0 + 64 + 564 + 4 + 8 = 666.

It is a super-2 number, since 2×44806406456448² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (44806406456447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9915113133 + ... + 9915117651.

It is an arithmetic number, because the mean of its divisors is an integer number (111599342400).

Almost surely, 2^{44806406456448} is an apocalyptic number.

44806406456448 is a gapful number since it is divisible by the number (48) 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 44806406456448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85708294963200).

44806406456448 is an abundant number, since it is smaller than the sum of its proper divisors (126610183469952).

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

44806406456448 is a wasteful number, since it uses less digits than its factorization.

44806406456448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 283115520, while the sum is 63.

The spelling of 44806406456448 in words is "forty-four trillion, eight hundred six billion, four hundred six million, four hundred fifty-six thousand, four hundred forty-eight".