46900224000 has 672 divisors, whose sum is σ = 193500792576. Its totient is φ = 10705305600.

The previous prime is 46900223971. The next prime is 46900224031. The reversal of 46900224000 is 42200964.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×46900224000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64511637 + ... + 64512363.

It is an arithmetic number, because the mean of its divisors is an integer number (287947608).

Almost surely, 2^46900224000 is an apocalyptic number.

46900224000 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 46900224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96750396288).

46900224000 is an abundant number, since it is smaller than the sum of its proper divisors (146600568576).

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

46900224000 is an equidigital number, since it uses as much as digits as its factorization.

46900224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 46900224000 its reverse (42200964), we get a palindrome (46942424964).

The spelling of 46900224000 in words is "forty-six billion, nine hundred million, two hundred twenty-four thousand".