46054479744 has 768 divisors, whose sum is σ = 172903610880. Its totient is φ = 11878244352.

The previous prime is 46054479743. The next prime is 46054479763. The reversal of 46054479744 is 44797445064.

It is a happy number.

46054479744 is a `hidden beast` number, since 4 + 6 + 0 + 544 + 7 + 97 + 4 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46054479743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150014439 + ... + 150014745.

It is an arithmetic number, because the mean of its divisors is an integer number (225134910).

Almost surely, 2^46054479744 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 46054479744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86451805440).

46054479744 is an abundant number, since it is smaller than the sum of its proper divisors (126849131136).

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

46054479744 is a wasteful number, since it uses less digits than its factorization.

46054479744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 46054479744 in words is "forty-six billion, fifty-four million, four hundred seventy-nine thousand, seven hundred forty-four".