46854144000 has 768 divisors, whose sum is σ = 178624293120. Its totient is φ = 11796480000.

The previous prime is 46854143957. The next prime is 46854144011. The reversal of 46854144000 is 44145864.

It is a happy number.

46854144000 is a `hidden beast` number, since 468 + 54 + 144 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 47 ways as a sum of consecutive naturals, for example, 1142783980 + ... + 1142784020.

It is an arithmetic number, because the mean of its divisors is an integer number (232583715).

Almost surely, 2^46854144000 is an apocalyptic number.

46854144000 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 46854144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89312146560).

46854144000 is an abundant number, since it is smaller than the sum of its proper divisors (131770149120).

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

46854144000 is an equidigital number, since it uses as much as digits as its factorization.

46854144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 46854144000 its reverse (44145864), we get a palindrome (46898289864).

The spelling of 46854144000 in words is "forty-six billion, eight hundred fifty-four million, one hundred forty-four thousand".