46105524920 has 256 divisors, whose sum is σ = 135959040000. Its totient is φ = 13955977728.

The previous prime is 46105524823. The next prime is 46105524929. The reversal of 46105524920 is 2942550164.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46105524929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4096661 + ... + 4107899.

It is an arithmetic number, because the mean of its divisors is an integer number (531090000).

Almost surely, 2^46105524920 is an apocalyptic number.

46105524920 is a gapful number since it is divisible by the number (40) 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 46105524920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67979520000).

46105524920 is an abundant number, since it is smaller than the sum of its proper divisors (89853515080).

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

46105524920 is a wasteful number, since it uses less digits than its factorization.

46105524920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11307 (or 11289 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 46105524920 in words is "forty-six billion, one hundred five million, five hundred twenty-four thousand, nine hundred twenty".