44845254720 has 1680 divisors, whose sum is σ = 205847972352. Its totient is φ = 9196830720.

The previous prime is 44845254691. The next prime is 44845254733. The reversal of 44845254720 is 2745254844.

44845254720 is a `hidden beast` number, since 4 + 4 + 84 + 5 + 2 + 547 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×44845254720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 669332127 + ... + 669332193.

Almost surely, 2^44845254720 is an apocalyptic number.

44845254720 is a gapful number since it is divisible by the number (40) 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 44845254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102923986176).

44845254720 is an abundant number, since it is smaller than the sum of its proper divisors (161002717632).

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

44845254720 is a wasteful number, since it uses less digits than its factorization.

44845254720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 45.

The spelling of 44845254720 in words is "forty-four billion, eight hundred forty-five million, two hundred fifty-four thousand, seven hundred twenty".