46836430848 has 384 divisors, whose sum is σ = 145297152000. Its totient is φ = 14890106880.

The previous prime is 46836430841. The next prime is 46836430897. The reversal of 46836430848 is 84803463864.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 46836430794 and 46836430803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46836430841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152561511 + ... + 152561817.

It is an arithmetic number, because the mean of its divisors is an integer number (378378000).

Almost surely, 2^46836430848 is an apocalyptic number.

46836430848 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 46836430848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72648576000).

46836430848 is an abundant number, since it is smaller than the sum of its proper divisors (98460721152).

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

46836430848 is a wasteful number, since it uses less digits than its factorization.

46836430848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 46836430848 in words is "forty-six billion, eight hundred thirty-six million, four hundred thirty thousand, eight hundred forty-eight".