46640151885600 has 2304 divisors, whose sum is σ = 214265036160000. Its totient is φ = 9728203161600.

The previous prime is 46640151885583. The next prime is 46640151885601. The reversal of 46640151885600 is 658815104664.

It is a happy number.

46640151885600 is a `hidden beast` number, since 4 + 6 + 6 + 4 + 0 + 15 + 18 + 8 + 5 + 600 = 666.

46640151885600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (46640151885601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8571978880 + ... + 8571984320.

It is an arithmetic number, because the mean of its divisors is an integer number (92996977500).

Almost surely, 2^{46640151885600} is an apocalyptic number.

46640151885600 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 46640151885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107132518080000).

46640151885600 is an abundant number, since it is smaller than the sum of its proper divisors (167624884274400).

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

46640151885600 is a wasteful number, since it uses less digits than its factorization.

46640151885600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5593 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 46640151885600 in words is "forty-six trillion, six hundred forty billion, one hundred fifty-one million, eight hundred eighty-five thousand, six hundred".