44149248000 has 1248 divisors, whose sum is σ = 189768039552. Its totient is φ = 9732096000.

The previous prime is 44149247899. The next prime is 44149248019. The reversal of 44149248000 is 84294144.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 658943967 + ... + 658944033.

It is an arithmetic number, because the mean of its divisors is an integer number (152057724).

Almost surely, 2^44149248000 is an apocalyptic number.

44149248000 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 44149248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94884019776).

44149248000 is an abundant number, since it is smaller than the sum of its proper divisors (145618791552).

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

44149248000 is a wasteful number, since it uses less digits than its factorization.

44149248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 44149248000 in words is "forty-four billion, one hundred forty-nine million, two hundred forty-eight thousand".