46354519008 has 216 divisors, whose sum is σ = 153925054920. Its totient is φ = 13193832960.

The previous prime is 46354518949. The next prime is 46354519027. The reversal of 46354519008 is 80091545364.

46354519008 is a `hidden beast` number, since 4 + 635 + 4 + 5 + 1 + 9 + 0 + 0 + 8 = 666.

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 35 ways as a sum of consecutive naturals, for example, 3790023 + ... + 3802233.

It is an arithmetic number, because the mean of its divisors is an integer number (712615995).

Almost surely, 2^46354519008 is an apocalyptic number.

46354519008 is a gapful number since it is divisible by the number (48) 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 46354519008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76962527460).

46354519008 is an abundant number, since it is smaller than the sum of its proper divisors (107570535912).

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

46354519008 is a wasteful number, since it uses less digits than its factorization.

46354519008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12510 (or 12492 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 46354519008 in words is "forty-six billion, three hundred fifty-four million, five hundred nineteen thousand, eight".