46028461248 has 1512 divisors, whose sum is σ = 194146505280. Its totient is φ = 10659962880.

The previous prime is 46028461223. The next prime is 46028461307. The reversal of 46028461248 is 84216482064.

46028461248 is a `hidden beast` number, since 4 + 6 + 0 + 28 + 4 + 612 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2422550583 + ... + 2422550601.

Almost surely, 2^46028461248 is an apocalyptic number.

46028461248 is a gapful number since it is divisible by the number (48) 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 46028461248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97073252640).

46028461248 is an abundant number, since it is smaller than the sum of its proper divisors (148118044032).

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

46028461248 is a wasteful number, since it uses less digits than its factorization.

46028461248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 46028461248 in words is "forty-six billion, twenty-eight million, four hundred sixty-one thousand, two hundred forty-eight".