46069254144 has 336 divisors, whose sum is σ = 140720252400. Its totient is φ = 15067275264.

The previous prime is 46069254131. The next prime is 46069254151. The reversal of 46069254144 is 44145296064.

46069254144 is a `hidden beast` number, since 4 + 6 + 0 + 69 + 2 + 541 + 44 = 666.

It is a super-2 number, since 2×46069254144² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46069254144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 88086267 + ... + 88086789.

It is an arithmetic number, because the mean of its divisors is an integer number (418810275).

Almost surely, 2^46069254144 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 46069254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70360126200).

46069254144 is an abundant number, since it is smaller than the sum of its proper divisors (94650998256).

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

46069254144 is an frugal number, since it uses more digits than its factorization.

46069254144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 46069254144 in words is "forty-six billion, sixty-nine million, two hundred fifty-four thousand, one hundred forty-four".