46008349920 has 960 divisors, whose sum is σ = 188841590784. Its totient is φ = 10455920640.

The previous prime is 46008349901. The next prime is 46008349931. The reversal of 46008349920 is 2994380064.

46008349920 is a `hidden beast` number, since 4 + 60 + 0 + 83 + 499 + 20 = 666.

It is a super-2 number, since 2×46008349920² (a number of 22 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 120126049 + ... + 120126431.

Almost surely, 2^46008349920 is an apocalyptic number.

46008349920 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 46008349920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94420795392).

46008349920 is an abundant number, since it is smaller than the sum of its proper divisors (142833240864).

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

46008349920 is a wasteful number, since it uses less digits than its factorization.

46008349920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 46008349920 in words is "forty-six billion, eight million, three hundred forty-nine thousand, nine hundred twenty".