46955842560 has 1056 divisors, whose sum is σ = 190556900352. Its totient is φ = 10988421120.

The previous prime is 46955842541. The next prime is 46955842627. The reversal of 46955842560 is 6524855964.

46955842560 is a `hidden beast` number, since 4 + 6 + 9 + 5 + 584 + 2 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 46955842497 and 46955842506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 643230684 + ... + 643230756.

Almost surely, 2^46955842560 is an apocalyptic number.

46955842560 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 46955842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95278450176).

46955842560 is an abundant number, since it is smaller than the sum of its proper divisors (143601057792).

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

46955842560 is a wasteful number, since it uses less digits than its factorization.

46955842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 46955842560 in words is "forty-six billion, nine hundred fifty-five million, eight hundred forty-two thousand, five hundred sixty".