45797368481280 has 3840 divisors, whose sum is σ = 196599832805376. Its totient is φ = 10113169489920.

The previous prime is 45797368481279. The next prime is 45797368481317. The reversal of 45797368481280 is 8218486379754.

It is a happy number.

45797368481280 is a `hidden beast` number, since 4 + 5 + 7 + 9 + 7 + 3 + 68 + 481 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 45797368481199 and 45797368481208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 360609200577 + ... + 360609200703.

It is a 1-persistent number, because it is pandigital, but 2⋅45797368481280 = 91594736962560 is not.

Almost surely, 2^{45797368481280} is an apocalyptic number.

45797368481280 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 45797368481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98299916402688).

45797368481280 is an abundant number, since it is smaller than the sum of its proper divisors (150802464324096).

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

45797368481280 is a wasteful number, since it uses less digits than its factorization.

45797368481280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 45797368481280 in words is "forty-five trillion, seven hundred ninety-seven billion, three hundred sixty-eight million, four hundred eighty-one thousand, two hundred eighty".