46088663040 has 936 divisors, whose sum is σ = 193458314400. Its totient is φ = 10534551552.

The previous prime is 46088663021. The next prime is 46088663041. The reversal of 46088663040 is 4036688064.

46088663040 is a `hidden beast` number, since 4 + 6 + 0 + 8 + 8 + 6 + 630 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (46088663041) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 6584094717 + ... + 6584094723.

Almost surely, 2^46088663040 is an apocalyptic number.

46088663040 is a gapful number since it is divisible by the number (40) 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 46088663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96729157200).

46088663040 is an abundant number, since it is smaller than the sum of its proper divisors (147369651360).

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

46088663040 is an frugal number, since it uses more digits than its factorization.

46088663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

46088663040 divided by its sum of digits (45) gives a cube (1024192512 = 1008³).

The spelling of 46088663040 in words is "forty-six billion, eighty-eight million, six hundred sixty-three thousand, forty".