46127973320 has 192 divisors, whose sum is σ = 125859953520. Its totient is φ = 15105024000.

The previous prime is 46127973313. The next prime is 46127973323. The reversal of 46127973320 is 2337972164.

It can be written as a sum of positive squares in 8 ways, for example, as 1364415844 + 44763557476 = 36938^2 + 211574^2 .

It is a super-2 number, since 2×46127973320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (46127973323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2570780 + ... + 2588660.

Almost surely, 2^46127973320 is an apocalyptic number.

46127973320 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 46127973320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62929976760).

46127973320 is an abundant number, since it is smaller than the sum of its proper divisors (79731980200).

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

46127973320 is a wasteful number, since it uses less digits than its factorization.

46127973320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17968 (or 17953 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 44.

The spelling of 46127973320 in words is "forty-six billion, one hundred twenty-seven million, nine hundred seventy-three thousand, three hundred twenty".