46168131240 has 576 divisors, whose sum is σ = 191426976000. Its totient is φ = 9542292480.

The previous prime is 46168131239. The next prime is 46168131263. The reversal of 46168131240 is 4213186164.

46168131240 is a `hidden beast` number, since 4 + 616 + 8 + 1 + 31 + 2 + 4 + 0 = 666.

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 = 46168131195 and 46168131204.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44434641 + ... + 44435679.

It is an arithmetic number, because the mean of its divisors is an integer number (332338500).

Almost surely, 2^46168131240 is an apocalyptic number.

46168131240 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 46168131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95713488000).

46168131240 is an abundant number, since it is smaller than the sum of its proper divisors (145258844760).

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

46168131240 is a wasteful number, since it uses less digits than its factorization.

46168131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 46168131240 in words is "forty-six billion, one hundred sixty-eight million, one hundred thirty-one thousand, two hundred forty".