46477349856 has 288 divisors, whose sum is σ = 158311964160. Its totient is φ = 13226976000.

The previous prime is 46477349803. The next prime is 46477349857. The reversal of 46477349856 is 65894377464.

It is a happy number.

46477349856 is a `hidden beast` number, since 46 + 477 + 3 + 49 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 46477349793 and 46477349802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46477349857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11471031 + ... + 11475081.

It is an arithmetic number, because the mean of its divisors is an integer number (549694320).

Almost surely, 2^46477349856 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 46477349856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79155982080).

46477349856 is an abundant number, since it is smaller than the sum of its proper divisors (111834614304).

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

46477349856 is a wasteful number, since it uses less digits than its factorization.

46477349856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355 (or 4334 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 46477349856 in words is "forty-six billion, four hundred seventy-seven million, three hundred forty-nine thousand, eight hundred fifty-six".