46633114000 has 320 divisors, whose sum is σ = 128424351744. Its totient is φ = 16224000000.

The previous prime is 46633113991. The next prime is 46633114027. The reversal of 46633114000 is 41133664.

46633114000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 46633114000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68881662 + ... + 68882338.

Almost surely, 2^46633114000 is an apocalyptic number.

46633114000 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 46633114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64212175872).

46633114000 is an abundant number, since it is smaller than the sum of its proper divisors (81791237744).

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

46633114000 is a wasteful number, since it uses less digits than its factorization.

46633114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 46633114000 its reverse (41133664), we get a palindrome (46674247664).

The spelling of 46633114000 in words is "forty-six billion, six hundred thirty-three million, one hundred fourteen thousand".