46035993600 has 495 divisors, whose sum is σ = 171617616247. Its totient is φ = 12193873920.

The previous prime is 46035993547. The next prime is 46035993613. The reversal of 46035993600 is 639953064.

It is a happy number.

The square root of 46035993600 is 214560.

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

46035993600 is a `hidden beast` number, since 4 + 6 + 0 + 35 + 9 + 9 + 3 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13739590656 + 32296402944 = 117216^2 + 179712^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 308966326 + ... + 308966474.

Almost surely, 2^46035993600 is an apocalyptic number.

46035993600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

46035993600 is the 214560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46035993600

46035993600 is an abundant number, since it is smaller than the sum of its proper divisors (125581622647).

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

46035993600 is an equidigital number, since it uses as much as digits as its factorization.

46035993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 46035993600 in words is "forty-six billion, thirty-five million, nine hundred ninety-three thousand, six hundred".