46066895424 has 315 divisors, whose sum is σ = 150655440243. Its totient is φ = 13908153600.

The previous prime is 46066895419. The next prime is 46066895429. The reversal of 46066895424 is 42459866064.

The square root of 46066895424 is 214632.

It is a perfect power (a square), and thus also a powerful number.

46066895424 is a `hidden beast` number, since 4 + 606 + 6 + 8 + 9 + 5 + 4 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (46066895419) and next prime (46066895429).

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

It is not an unprimeable number, because it can be changed into a prime (46066895429) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 169988409 + ... + 169988679.

Almost surely, 2^46066895424 is an apocalyptic number.

46066895424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

46066895424 is the 214632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46066895424

46066895424 is an abundant number, since it is smaller than the sum of its proper divisors (104588544819).

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

46066895424 is an equidigital number, since it uses as much as digits as its factorization.

46066895424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 46066895424 in words is "forty-six billion, sixty-six million, eight hundred ninety-five thousand, four hundred twenty-four".