44681151011328 has 1600 divisors, whose sum is σ = 155956598138880. Its totient is φ = 12617573990400.

The previous prime is 44681151011303. The next prime is 44681151011353. The reversal of 44681151011328 is 82311015118644.

It is a happy number.

44681151011328 is a `hidden beast` number, since 4 + 4 + 6 + 8 + 11 + 510 + 113 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (44681151011303) and next prime (44681151011353).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80217506026 + ... + 80217506582.

Almost surely, 2^{44681151011328} is an apocalyptic number.

44681151011328 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 44681151011328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77978299069440).

44681151011328 is an abundant number, since it is smaller than the sum of its proper divisors (111275447127552).

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

44681151011328 is a wasteful number, since it uses less digits than its factorization.

44681151011328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 44681151011328 in words is "forty-four trillion, six hundred eighty-one billion, one hundred fifty-one million, eleven thousand, three hundred twenty-eight".