46450713600 has 924 divisors, whose sum is σ = 183106442640. Its totient is φ = 11645337600.

The previous prime is 46450713599. The next prime is 46450713607. The reversal of 46450713600 is 631705464.

It is a happy number.

46450713600 is a `hidden beast` number, since 4 + 6 + 45 + 0 + 7 + 1 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46450713607) 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 83 ways as a sum of consecutive naturals, for example, 354585535 + ... + 354585665.

Almost surely, 2^46450713600 is an apocalyptic number.

46450713600 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 46450713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91553221320).

46450713600 is an abundant number, since it is smaller than the sum of its proper divisors (136655729040).

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

46450713600 is a wasteful number, since it uses less digits than its factorization.

46450713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 46450713600 in words is "forty-six billion, four hundred fifty million, seven hundred thirteen thousand, six hundred".