46078251940224 has 960 divisors, whose sum is σ = 162398747784240. Its totient is φ = 12982329851904.

The previous prime is 46078251940177. The next prime is 46078251940241. The reversal of 46078251940224 is 42204915287064.

46078251940224 is a `hidden beast` number, since 4 + 6 + 0 + 7 + 82 + 519 + 40 + 2 + 2 + 4 = 666.

46078251940224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9011977092 + ... + 9011982204.

Almost surely, 2^{46078251940224} 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 46078251940224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81199373892120).

46078251940224 is an abundant number, since it is smaller than the sum of its proper divisors (116320495844016).

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

46078251940224 is an frugal number, since it uses more digits than its factorization.

46078251940224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5241 (or 5198 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 46078251940224 in words is "forty-six trillion, seventy-eight billion, two hundred fifty-one million, nine hundred forty thousand, two hundred twenty-four".