46664131140 has 288 divisors, whose sum is σ = 158618259072. Its totient is φ = 11006208000.

The previous prime is 46664131097. The next prime is 46664131183. The reversal of 46664131140 is 4113146664.

It is an interprime number because it is at equal distance from previous prime (46664131097) and next prime (46664131183).

It is a super-2 number, since 2×46664131140² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 46664131095 and 46664131104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45703830 + ... + 45704850.

It is an arithmetic number, because the mean of its divisors is an integer number (550757844).

Almost surely, 2^46664131140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46664131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79309129536).

46664131140 is an abundant number, since it is smaller than the sum of its proper divisors (111954127932).

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

46664131140 is a wasteful number, since it uses less digits than its factorization.

46664131140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 46664131140 in words is "forty-six billion, six hundred sixty-four million, one hundred thirty-one thousand, one hundred forty".