45337914292680 has 768 divisors, whose sum is σ = 162177446246400. Its totient is φ = 11253936476160.

The previous prime is 45337914292663. The next prime is 45337914292687. The reversal of 45337914292680 is 8629241973354.

45337914292680 is a `hidden beast` number, since 4 + 5 + 337 + 9 + 1 + 4 + 292 + 6 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (45337914292687) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7799397454 + ... + 7799403266.

It is an arithmetic number, because the mean of its divisors is an integer number (211168549800).

It is a 1-persistent number, because it is pandigital, but 2⋅45337914292680 = 90675828585360 is not.

Almost surely, 2^{45337914292680} is an apocalyptic number.

45337914292680 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 45337914292680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81088723123200).

45337914292680 is an abundant number, since it is smaller than the sum of its proper divisors (116839531953720).

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

45337914292680 is a wasteful number, since it uses less digits than its factorization.

45337914292680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6199 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 45337914292680 in words is "forty-five trillion, three hundred thirty-seven billion, nine hundred fourteen million, two hundred ninety-two thousand, six hundred eighty".