46891141920 has 576 divisors, whose sum is σ = 196106520960. Its totient is φ = 10426558464.

The previous prime is 46891141909. The next prime is 46891141963. The reversal of 46891141920 is 2914119864.

It is a happy number.

46891141920 is a `hidden beast` number, since 468 + 91 + 14 + 1 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7829167 + ... + 7835153.

It is an arithmetic number, because the mean of its divisors is an integer number (340462710).

Almost surely, 2^46891141920 is an apocalyptic number.

46891141920 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 46891141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98053260480).

46891141920 is an abundant number, since it is smaller than the sum of its proper divisors (149215379040).

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

46891141920 is a wasteful number, since it uses less digits than its factorization.

46891141920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6062 (or 6041 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 46891141920 in words is "forty-six billion, eight hundred ninety-one million, one hundred forty-one thousand, nine hundred twenty".