46852404480 has 864 divisors, whose sum is σ = 196572297600. Its totient is φ = 10534551552.

The previous prime is 46852404427. The next prime is 46852404523. The reversal of 46852404480 is 8440425864.

46852404480 is a `hidden beast` number, since 4 + 6 + 8 + 524 + 0 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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, 123620931 + ... + 123621309.

Almost surely, 2^46852404480 is an apocalyptic number.

46852404480 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 46852404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98286148800).

46852404480 is an abundant number, since it is smaller than the sum of its proper divisors (149719893120).

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

46852404480 is a wasteful number, since it uses less digits than its factorization.

46852404480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 46852404480 in words is "forty-six billion, eight hundred fifty-two million, four hundred four thousand, four hundred eighty".