46735280856 has 640 divisors, whose sum is σ = 162586828800. Its totient is φ = 12356997120.

The previous prime is 46735280833. The next prime is 46735280887. The reversal of 46735280856 is 65808253764.

46735280856 is a `hidden beast` number, since 4 + 67 + 3 + 528 + 0 + 8 + 56 = 666.

46735280856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 122024041 + ... + 122024423.

It is an arithmetic number, because the mean of its divisors is an integer number (254041920).

Almost surely, 2^46735280856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46735280856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81293414400).

46735280856 is an abundant number, since it is smaller than the sum of its proper divisors (115851547944).

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

46735280856 is a wasteful number, since it uses less digits than its factorization.

46735280856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 46735280856 in words is "forty-six billion, seven hundred thirty-five million, two hundred eighty thousand, eight hundred fifty-six".