45279613716480 has 1536 divisors, whose sum is σ = 190946875392000. Its totient is φ = 10033224744960.

The previous prime is 45279613716413. The next prime is 45279613716517. The reversal of 45279613716480 is 8461731697254.

45279613716480 is a `hidden beast` number, since 4 + 5 + 2 + 7 + 9 + 6 + 137 + 16 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4072268361 + ... + 4072279479.

It is an arithmetic number, because the mean of its divisors is an integer number (124314372000).

It is a 1-persistent number, because it is pandigital, but 2⋅45279613716480 = 90559227432960 is not.

Almost surely, 2^{45279613716480} is an apocalyptic number.

45279613716480 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 45279613716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95473437696000).

45279613716480 is an abundant number, since it is smaller than the sum of its proper divisors (145667261675520).

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

45279613716480 is a wasteful number, since it uses less digits than its factorization.

45279613716480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11282 (or 11256 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 45279613716480 in words is "forty-five trillion, two hundred seventy-nine billion, six hundred thirteen million, seven hundred sixteen thousand, four hundred eighty".