46545827280 has 320 divisors, whose sum is σ = 158880331008. Its totient is φ = 11224350720.

The previous prime is 46545827261. The next prime is 46545827281. The reversal of 46545827280 is 8272854564.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46545827281) 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, 11205684 + ... + 11209836.

Almost surely, 2^46545827280 is an apocalyptic number.

46545827280 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 46545827280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79440165504).

46545827280 is an abundant number, since it is smaller than the sum of its proper divisors (112334503728).

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

46545827280 is a wasteful number, since it uses less digits than its factorization.

46545827280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4294 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 51.

The spelling of 46545827280 in words is "forty-six billion, five hundred forty-five million, eight hundred twenty-seven thousand, two hundred eighty".