46784134545408 has 896 divisors, whose sum is σ = 153069921244800. Its totient is φ = 14205448617984.

The previous prime is 46784134545349. The next prime is 46784134545431. The reversal of 46784134545408 is 80454543148764.

46784134545408 is a `hidden beast` number, since 4 + 6 + 7 + 8 + 4 + 1 + 34 + 54 + 540 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24532843591 + ... + 24532845497.

It is an arithmetic number, because the mean of its divisors is an integer number (170836965675).

Almost surely, 2^{46784134545408} is an apocalyptic number.

46784134545408 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 46784134545408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76534960622400).

46784134545408 is an abundant number, since it is smaller than the sum of its proper divisors (106285786699392).

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

46784134545408 is an frugal number, since it uses more digits than its factorization.

46784134545408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 206438400, while the sum is 63.

The spelling of 46784134545408 in words is "forty-six trillion, seven hundred eighty-four billion, one hundred thirty-four million, five hundred forty-five thousand, four hundred eight".