46819539648 has 280 divisors, whose sum is σ = 159030009600. Its totient is φ = 13341998592.

The previous prime is 46819539619. The next prime is 46819539667. The reversal of 46819539648 is 84693591864.

46819539648 is a `hidden beast` number, since 46 + 8 + 19 + 539 + 6 + 48 = 666.

46819539648 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15928963 + ... + 15931901.

It is an arithmetic number, because the mean of its divisors is an integer number (567964320).

Almost surely, 2^46819539648 is an apocalyptic number.

46819539648 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 46819539648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79515004800).

46819539648 is an abundant number, since it is smaller than the sum of its proper divisors (112210469952).

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

46819539648 is a wasteful number, since it uses less digits than its factorization.

46819539648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3409 (or 3390 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 46819539648 in words is "forty-six billion, eight hundred nineteen million, five hundred thirty-nine thousand, six hundred forty-eight".