46617228000 has 1152 divisors, whose sum is σ = 206510653440. Its totient is φ = 10165478400.

The previous prime is 46617227989. The next prime is 46617228037. The reversal of 46617228000 is 82271664.

46617228000 is a `hidden beast` number, since 466 + 172 + 28 + 0 + 0 + 0 = 666.

46617228000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121715809 + ... + 121716191.

It is an arithmetic number, because the mean of its divisors is an integer number (179262720).

Almost surely, 2^46617228000 is an apocalyptic number.

46617228000 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 46617228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103255326720).

46617228000 is an abundant number, since it is smaller than the sum of its proper divisors (159893425440).

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

46617228000 is a wasteful number, since it uses less digits than its factorization.

46617228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 46617228000 its reverse (82271664), we get a palindrome (46699499664).

The spelling of 46617228000 in words is "forty-six billion, six hundred seventeen million, two hundred twenty-eight thousand".