44754016944 has 320 divisors, whose sum is σ = 158599848960. Its totient is φ = 10523934720.

The previous prime is 44754016933. The next prime is 44754016973. The reversal of 44754016944 is 44961045744.

44754016944 = T₁₆₄₈₅ + T₁₆₄₈₆ + ... + T₁₆₈₀₇.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 44754016893 and 44754016902.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1395004 + ... + 1426724.

It is an arithmetic number, because the mean of its divisors is an integer number (495624528).

Almost surely, 2^44754016944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44754016944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79299924480).

44754016944 is an abundant number, since it is smaller than the sum of its proper divisors (113845832016).

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

44754016944 is a wasteful number, since it uses less digits than its factorization.

44754016944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31788 (or 31782 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 44754016944 in words is "forty-four billion, seven hundred fifty-four million, sixteen thousand, nine hundred forty-four".