46119568320 has 672 divisors, whose sum is σ = 193951920960. Its totient is φ = 10280632320.

The previous prime is 46119568309. The next prime is 46119568367. The reversal of 46119568320 is 2386591164.

46119568320 is a `hidden beast` number, since 4 + 61 + 1 + 9 + 568 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

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, 17356432 + ... + 17359088.

It is an arithmetic number, because the mean of its divisors is an integer number (288618930).

Almost surely, 2^46119568320 is an apocalyptic number.

46119568320 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 46119568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96975960480).

46119568320 is an abundant number, since it is smaller than the sum of its proper divisors (147832352640).

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

46119568320 is a wasteful number, since it uses less digits than its factorization.

46119568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 46119568320 in words is "forty-six billion, one hundred nineteen million, five hundred sixty-eight thousand, three hundred twenty".