46444072896 has 336 divisors, whose sum is σ = 157430748384. Its totient is φ = 13448871936.

The previous prime is 46444072859. The next prime is 46444072949. The reversal of 46444072896 is 69827044464.

46444072896 is a `hidden beast` number, since 46 + 4 + 440 + 72 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3430236 + ... + 3443748.

It is an arithmetic number, because the mean of its divisors is an integer number (468543894).

Almost surely, 2^46444072896 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 46444072896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78715374192).

46444072896 is an abundant number, since it is smaller than the sum of its proper divisors (110986675488).

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

46444072896 is a wasteful number, since it uses less digits than its factorization.

46444072896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13570 (or 13548 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 46444072896 in words is "forty-six billion, four hundred forty-four million, seventy-two thousand, eight hundred ninety-six".