46214184000 has 448 divisors, whose sum is σ = 159147735552. Its totient is φ = 11805696000.

The previous prime is 46214183993. The next prime is 46214184001. The reversal of 46214184000 is 48141264.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (46214184001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63047634 + ... + 63048366.

Almost surely, 2^46214184000 is an apocalyptic number.

46214184000 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 46214184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79573867776).

46214184000 is an abundant number, since it is smaller than the sum of its proper divisors (112933551552).

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

46214184000 is a wasteful number, since it uses less digits than its factorization.

46214184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 46214184000 in words is "forty-six billion, two hundred fourteen million, one hundred eighty-four thousand".