46820229120 has 798 divisors, whose sum is σ = 195981626322. Its totient is φ = 10701766656.

The previous prime is 46820229109. The next prime is 46820229139. The reversal of 46820229120 is 2192202864.

It can be written as a sum of positive squares in only one way, i.e., 37456183296 + 9364045824 = 193536^2 + 96768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 6688604157 + ... + 6688604163.

Almost surely, 2^46820229120 is an apocalyptic number.

46820229120 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 46820229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97990813161).

46820229120 is an abundant number, since it is smaller than the sum of its proper divisors (149161397202).

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

46820229120 is an frugal number, since it uses more digits than its factorization.

46820229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 46820229120 in words is "forty-six billion, eight hundred twenty million, two hundred twenty-nine thousand, one hundred twenty".