46412713600 has 384 divisors, whose sum is σ = 136256904000. Its totient is φ = 15431270400.

The previous prime is 46412713597. The next prime is 46412713609. The reversal of 46412713600 is 631721464.

It is not an unprimeable number, because it can be changed into a prime (46412713609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19394004 + ... + 19396396.

Almost surely, 2^46412713600 is an apocalyptic number.

46412713600 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 46412713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68128452000).

46412713600 is an abundant number, since it is smaller than the sum of its proper divisors (89844190400).

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

46412713600 is a wasteful number, since it uses less digits than its factorization.

46412713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 46412713600 in words is "forty-six billion, four hundred twelve million, seven hundred thirteen thousand, six hundred".