46664169552 has 960 divisors, whose sum is σ = 188841246720. Its totient is φ = 10643788800.

The previous prime is 46664169511. The next prime is 46664169619. The reversal of 46664169552 is 25596146664.

46664169552 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 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, 790918099 + ... + 790918157.

It is an arithmetic number, because the mean of its divisors is an integer number (196709632).

Almost surely, 2^46664169552 is an apocalyptic number.

46664169552 is a gapful number since it is divisible by the number (42) 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 46664169552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94420623360).

46664169552 is an abundant number, since it is smaller than the sum of its proper divisors (142177077168).

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

46664169552 is a wasteful number, since it uses less digits than its factorization.

46664169552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 126 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 46664169552 in words is "forty-six billion, six hundred sixty-four million, one hundred sixty-nine thousand, five hundred fifty-two".