46091596320 has 384 divisors, whose sum is σ = 201128417280. Its totient is φ = 9577405440.

The previous prime is 46091596319. The next prime is 46091596337. The reversal of 46091596320 is 2369519064.

46091596320 is a `hidden beast` number, since 4 + 6 + 0 + 9 + 1 + 5 + 9 + 632 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 263359 + ... + 401921.

It is an arithmetic number, because the mean of its divisors is an integer number (523771920).

Almost surely, 2^46091596320 is an apocalyptic number.

46091596320 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 46091596320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100564208640).

46091596320 is an abundant number, since it is smaller than the sum of its proper divisors (155036820960).

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

46091596320 is a wasteful number, since it uses less digits than its factorization.

46091596320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138605 (or 138591 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

It can be divided in two parts, 46091 and 596320, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 46091596320 in words is "forty-six billion, ninety-one million, five hundred ninety-six thousand, three hundred twenty".