46263305088 has 1024 divisors, whose sum is σ = 188194406400. Its totient is φ = 10799308800.

The previous prime is 46263305071. The next prime is 46263305117. The reversal of 46263305088 is 88050336264.

It is a happy number.

46263305088 is a `hidden beast` number, since 4 + 6 + 2 + 633 + 0 + 5 + 0 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 148756453 + ... + 148756763.

It is an arithmetic number, because the mean of its divisors is an integer number (183783600).

Almost surely, 2^46263305088 is an apocalyptic number.

46263305088 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 46263305088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94097203200).

46263305088 is an abundant number, since it is smaller than the sum of its proper divisors (141931101312).

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

46263305088 is a wasteful number, since it uses less digits than its factorization.

46263305088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 390 counting only the distinct ones).

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

The spelling of 46263305088 in words is "forty-six billion, two hundred sixty-three million, three hundred five thousand, eighty-eight".