46287965808 has 560 divisors, whose sum is σ = 161304765120. Its totient is φ = 12582936576.

The previous prime is 46287965753. The next prime is 46287965869. The reversal of 46287965808 is 80856978264.

46287965808 is a `hidden beast` number, since 46 + 2 + 8 + 7 + 9 + 6 + 580 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 111 ways as a sum of consecutive naturals, for example, 267560410 + ... + 267560582.

Almost surely, 2^46287965808 is an apocalyptic number.

46287965808 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 46287965808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80652382560).

46287965808 is an abundant number, since it is smaller than the sum of its proper divisors (115016799312).

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

46287965808 is a wasteful number, since it uses less digits than its factorization.

46287965808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 46287965808 in words is "forty-six billion, two hundred eighty-seven million, nine hundred sixty-five thousand, eight hundred eight".