44648310672 has 560 divisors, whose sum is σ = 165305669760. Its totient is φ = 11367641088.

The previous prime is 44648310607. The next prime is 44648310761. The reversal of 44648310672 is 27601384644.

44648310672 is a `hidden beast` number, since 4 + 464 + 83 + 106 + 7 + 2 = 666.

44648310672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 26371458 + ... + 26373150.

It is an arithmetic number, because the mean of its divisors is an integer number (295188696).

Almost surely, 2^44648310672 is an apocalyptic number.

44648310672 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 44648310672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82652834880).

44648310672 is an abundant number, since it is smaller than the sum of its proper divisors (120657359088).

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

44648310672 is a wasteful number, since it uses less digits than its factorization.

44648310672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 44648310672 in words is "forty-four billion, six hundred forty-eight million, three hundred ten thousand, six hundred seventy-two".