44292290112 has 756 divisors, whose sum is σ = 161478577728. Its totient is φ = 11549260800.

The previous prime is 44292290087. The next prime is 44292290117. The reversal of 44292290112 is 21109229244.

44292290112 is a `hidden beast` number, since 4 + 429 + 229 + 0 + 1 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44292290117) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 623835037 + ... + 623835107.

Almost surely, 2^44292290112 is an apocalyptic number.

44292290112 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 44292290112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80739288864).

44292290112 is an abundant number, since it is smaller than the sum of its proper divisors (117186287616).

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

44292290112 is a wasteful number, since it uses less digits than its factorization.

44292290112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 44292290112 in words is "forty-four billion, two hundred ninety-two million, two hundred ninety thousand, one hundred twelve".