45987014717280 has 864 divisors, whose sum is σ = 195021007534080. Its totient is φ = 9662071910400.

The previous prime is 45987014717261. The next prime is 45987014717291. The reversal of 45987014717280 is 8271741078954.

45987014717280 is a `hidden beast` number, since 4 + 5 + 9 + 87 + 0 + 1 + 471 + 7 + 2 + 80 = 666.

It is a super-2 number, since 2×45987014717280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 407084805 + ... + 407197755.

It is an arithmetic number, because the mean of its divisors is an integer number (225718758720).

Almost surely, 2^{45987014717280} is an apocalyptic number.

45987014717280 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 45987014717280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97510503767040).

45987014717280 is an abundant number, since it is smaller than the sum of its proper divisors (149033992816800).

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

45987014717280 is a wasteful number, since it uses less digits than its factorization.

45987014717280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113244 (or 113220 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 45987014717280 in words is "forty-five trillion, nine hundred eighty-seven billion, fourteen million, seven hundred seventeen thousand, two hundred eighty".