44769301903872 has 3360 divisors, whose sum is σ = 179026040350080. Its totient is φ = 11061279129600.

The previous prime is 44769301903819. The next prime is 44769301903969. The reversal of 44769301903872 is 27830910396744.

44769301903872 is a `hidden beast` number, since 4 + 4 + 7 + 69 + 3 + 0 + 190 + 387 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 296485442997 + ... + 296485443147.

It is an arithmetic number, because the mean of its divisors is an integer number (53281559628).

Almost surely, 2^{44769301903872} is an apocalyptic number.

44769301903872 is a gapful number since it is divisible by the number (42) 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 44769301903872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89513020175040).

44769301903872 is an abundant number, since it is smaller than the sum of its proper divisors (134256738446208).

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

44769301903872 is a wasteful number, since it uses less digits than its factorization.

44769301903872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 44769301903872 in words is "forty-four trillion, seven hundred sixty-nine billion, three hundred one million, nine hundred three thousand, eight hundred seventy-two".